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Finding the Third Proportional to 238,620 and 514,605

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Solution

The third proportional to 238,620 and 514,605 is: 1,109,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,620 : 514,605 = 514,605 : x
  2. Step 2: Convert to fraction form
    238,620/514,605 = 514,605/x
  3. Step 3: Cross multiply
    238,620x = 514,605 × 514,605
  4. Step 4: Simplify right side
    238,620x = 264,818,306,025
  5. Step 5: Solve for x
    x = 264,818,306,025/238,620
  6. Step 6: Final answer
    x = 1,109,790.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.