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Finding the Third Proportional to 259,975,776 and 382,002,960

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Solution

The third proportional to 259,975,776 and 382,002,960 is: 561,307,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,975,776 : 382,002,960 = 382,002,960 : x
  2. Step 2: Convert to fraction form
    259,975,776/382,002,960 = 382,002,960/x
  3. Step 3: Cross multiply
    259,975,776x = 382,002,960 × 382,002,960
  4. Step 4: Simplify right side
    259,975,776x = 145,926,261,448,761,600
  5. Step 5: Solve for x
    x = 145,926,261,448,761,600/259,975,776
  6. Step 6: Final answer
    x = 561,307,148.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.