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Finding the Third Proportional to 356,650 and 554,020

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Solution

The third proportional to 356,650 and 554,020 is: 860,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,650 : 554,020 = 554,020 : x
  2. Step 2: Convert to fraction form
    356,650/554,020 = 554,020/x
  3. Step 3: Cross multiply
    356,650x = 554,020 × 554,020
  4. Step 4: Simplify right side
    356,650x = 306,938,160,400
  5. Step 5: Solve for x
    x = 306,938,160,400/356,650
  6. Step 6: Final answer
    x = 860,614.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.