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Finding the Third Proportional to 295,562.81 and 458,592.19

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Solution

The third proportional to 295,562.81 and 458,592.19 is: 711,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,562.81 : 458,592.19 = 458,592.19 : x
  2. Step 2: Convert to fraction form
    295,562.81/458,592.19 = 458,592.19/x
  3. Step 3: Cross multiply
    295,562.81x = 458,592.19 × 458,592.19
  4. Step 4: Simplify right side
    295,562.81x = 210,306,794,436.04
  5. Step 5: Solve for x
    x = 210,306,794,436.04/295,562.81
  6. Step 6: Final answer
    x = 711,546.87

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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.