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Finding the Third Proportional to 209,060 and 458,724

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Solution

The third proportional to 209,060 and 458,724 is: 1,006,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,060 : 458,724 = 458,724 : x
  2. Step 2: Convert to fraction form
    209,060/458,724 = 458,724/x
  3. Step 3: Cross multiply
    209,060x = 458,724 × 458,724
  4. Step 4: Simplify right side
    209,060x = 210,427,708,176
  5. Step 5: Solve for x
    x = 210,427,708,176/209,060
  6. Step 6: Final answer
    x = 1,006,542.18

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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.