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Finding the Third Proportional to 261,575,117 and 560,705,944

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Solution

The third proportional to 261,575,117 and 560,705,944 is: 1,201,915,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,575,117 : 560,705,944 = 560,705,944 : x
  2. Step 2: Convert to fraction form
    261,575,117/560,705,944 = 560,705,944/x
  3. Step 3: Cross multiply
    261,575,117x = 560,705,944 × 560,705,944
  4. Step 4: Simplify right side
    261,575,117x = 314,391,155,636,931,136
  5. Step 5: Solve for x
    x = 314,391,155,636,931,136/261,575,117
  6. Step 6: Final answer
    x = 1,201,915,378.05

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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.