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Finding the Third Proportional to 261,932,521 and 436,527,892.50

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Solution

The third proportional to 261,932,521 and 436,527,892.50 is: 727,502,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,932,521 : 436,527,892.50 = 436,527,892.50 : x
  2. Step 2: Convert to fraction form
    261,932,521/436,527,892.50 = 436,527,892.50/x
  3. Step 3: Cross multiply
    261,932,521x = 436,527,892.50 × 436,527,892.50
  4. Step 4: Simplify right side
    261,932,521x = 190,556,600,930,491,552
  5. Step 5: Solve for x
    x = 190,556,600,930,491,552/261,932,521
  6. Step 6: Final answer
    x = 727,502,641.53

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.