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Finding the Third Proportional to 261,575,113 and 560,705,936

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Solution

The third proportional to 261,575,113 and 560,705,936 is: 1,201,915,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,575,113 : 560,705,936 = 560,705,936 : x
  2. Step 2: Convert to fraction form
    261,575,113/560,705,936 = 560,705,936/x
  3. Step 3: Cross multiply
    261,575,113x = 560,705,936 × 560,705,936
  4. Step 4: Simplify right side
    261,575,113x = 314,391,146,665,636,096
  5. Step 5: Solve for x
    x = 314,391,146,665,636,096/261,575,113
  6. Step 6: Final answer
    x = 1,201,915,362.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.