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Finding the Third Proportional to 534,442.50 and 802,358.50

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Solution

The third proportional to 534,442.50 and 802,358.50 is: 1,204,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,442.50 : 802,358.50 = 802,358.50 : x
  2. Step 2: Convert to fraction form
    534,442.50/802,358.50 = 802,358.50/x
  3. Step 3: Cross multiply
    534,442.50x = 802,358.50 × 802,358.50
  4. Step 4: Simplify right side
    534,442.50x = 643,779,162,522.25
  5. Step 5: Solve for x
    x = 643,779,162,522.25/534,442.50
  6. Step 6: Final answer
    x = 1,204,580.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.