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Finding the Third Proportional to 326,344,513.50 and 506,060,311.50

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Solution

The third proportional to 326,344,513.50 and 506,060,311.50 is: 784,744,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,344,513.50 : 506,060,311.50 = 506,060,311.50 : x
  2. Step 2: Convert to fraction form
    326,344,513.50/506,060,311.50 = 506,060,311.50/x
  3. Step 3: Cross multiply
    326,344,513.50x = 506,060,311.50 × 506,060,311.50
  4. Step 4: Simplify right side
    326,344,513.50x = 256,097,038,875,477,024
  5. Step 5: Solve for x
    x = 256,097,038,875,477,024/326,344,513.50
  6. Step 6: Final answer
    x = 784,744,428.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.