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Finding the Third Proportional to 326,344,504.50 and 506,060,298

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Solution

The third proportional to 326,344,504.50 and 506,060,298 is: 784,744,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,344,504.50 : 506,060,298 = 506,060,298 : x
  2. Step 2: Convert to fraction form
    326,344,504.50/506,060,298 = 506,060,298/x
  3. Step 3: Cross multiply
    326,344,504.50x = 506,060,298 × 506,060,298
  4. Step 4: Simplify right side
    326,344,504.50x = 256,097,025,211,848,800
  5. Step 5: Solve for x
    x = 256,097,025,211,848,800/326,344,504.50
  6. Step 6: Final answer
    x = 784,744,408.69

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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.