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Finding the Third Proportional to 187,584 and 410,746

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Solution

The third proportional to 187,584 and 410,746 is: 899,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,584 : 410,746 = 410,746 : x
  2. Step 2: Convert to fraction form
    187,584/410,746 = 410,746/x
  3. Step 3: Cross multiply
    187,584x = 410,746 × 410,746
  4. Step 4: Simplify right side
    187,584x = 168,712,276,516
  5. Step 5: Solve for x
    x = 168,712,276,516/187,584
  6. Step 6: Final answer
    x = 899,395.88

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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.