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Finding the Third Proportional to 261,575,109 and 560,705,928

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Solution

The third proportional to 261,575,109 and 560,705,928 is: 1,201,915,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,575,109 : 560,705,928 = 560,705,928 : x
  2. Step 2: Convert to fraction form
    261,575,109/560,705,928 = 560,705,928/x
  3. Step 3: Cross multiply
    261,575,109x = 560,705,928 × 560,705,928
  4. Step 4: Simplify right side
    261,575,109x = 314,391,137,694,341,184
  5. Step 5: Solve for x
    x = 314,391,137,694,341,184/261,575,109
  6. Step 6: Final answer
    x = 1,201,915,346.21

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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.