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Finding the Third Proportional to 602,440.50 and 803,164.50

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Solution

The third proportional to 602,440.50 and 803,164.50 is: 1,070,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,440.50 : 803,164.50 = 803,164.50 : x
  2. Step 2: Convert to fraction form
    602,440.50/803,164.50 = 803,164.50/x
  3. Step 3: Cross multiply
    602,440.50x = 803,164.50 × 803,164.50
  4. Step 4: Simplify right side
    602,440.50x = 645,073,214,060.25
  5. Step 5: Solve for x
    x = 645,073,214,060.25/602,440.50
  6. Step 6: Final answer
    x = 1,070,766.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.