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Finding the Third Proportional to 187,585 and 410,745

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Solution

The third proportional to 187,585 and 410,745 is: 899,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,585 : 410,745 = 410,745 : x
  2. Step 2: Convert to fraction form
    187,585/410,745 = 410,745/x
  3. Step 3: Cross multiply
    187,585x = 410,745 × 410,745
  4. Step 4: Simplify right side
    187,585x = 168,711,455,025
  5. Step 5: Solve for x
    x = 168,711,455,025/187,585
  6. Step 6: Final answer
    x = 899,386.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.