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Finding the Third Proportional to 269,687,114 and 403,792,560

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Solution

The third proportional to 269,687,114 and 403,792,560 is: 604,583,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,687,114 : 403,792,560 = 403,792,560 : x
  2. Step 2: Convert to fraction form
    269,687,114/403,792,560 = 403,792,560/x
  3. Step 3: Cross multiply
    269,687,114x = 403,792,560 × 403,792,560
  4. Step 4: Simplify right side
    269,687,114x = 163,048,431,511,353,600
  5. Step 5: Solve for x
    x = 163,048,431,511,353,600/269,687,114
  6. Step 6: Final answer
    x = 604,583,693.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.