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Finding the Third Proportional to 434,443.50 and 664,605

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Solution

The third proportional to 434,443.50 and 664,605 is: 1,016,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,443.50 : 664,605 = 664,605 : x
  2. Step 2: Convert to fraction form
    434,443.50/664,605 = 664,605/x
  3. Step 3: Cross multiply
    434,443.50x = 664,605 × 664,605
  4. Step 4: Simplify right side
    434,443.50x = 441,699,806,025
  5. Step 5: Solve for x
    x = 441,699,806,025/434,443.50
  6. Step 6: Final answer
    x = 1,016,702.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.