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Finding the Third Proportional to 326,344,140 and 506,059,771.50

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Solution

The third proportional to 326,344,140 and 506,059,771.50 is: 784,743,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,344,140 : 506,059,771.50 = 506,059,771.50 : x
  2. Step 2: Convert to fraction form
    326,344,140/506,059,771.50 = 506,059,771.50/x
  3. Step 3: Cross multiply
    326,344,140x = 506,059,771.50 × 506,059,771.50
  4. Step 4: Simplify right side
    326,344,140x = 256,096,492,330,632,224
  5. Step 5: Solve for x
    x = 256,096,492,330,632,224/326,344,140
  6. Step 6: Final answer
    x = 784,743,652.30

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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.