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Finding the Third Proportional to 259,975,778 and 382,002,963

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Solution

The third proportional to 259,975,778 and 382,002,963 is: 561,307,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,975,778 : 382,002,963 = 382,002,963 : x
  2. Step 2: Convert to fraction form
    259,975,778/382,002,963 = 382,002,963/x
  3. Step 3: Cross multiply
    259,975,778x = 382,002,963 × 382,002,963
  4. Step 4: Simplify right side
    259,975,778x = 145,926,263,740,779,360
  5. Step 5: Solve for x
    x = 145,926,263,740,779,360/259,975,778
  6. Step 6: Final answer
    x = 561,307,152.78

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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.