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Finding the Third Proportional to 411,702.75 and 617,554.13

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Solution

The third proportional to 411,702.75 and 617,554.13 is: 926,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,702.75 : 617,554.13 = 617,554.13 : x
  2. Step 2: Convert to fraction form
    411,702.75/617,554.13 = 617,554.13/x
  3. Step 3: Cross multiply
    411,702.75x = 617,554.13 × 617,554.13
  4. Step 4: Simplify right side
    411,702.75x = 381,373,097,304.52
  5. Step 5: Solve for x
    x = 381,373,097,304.52/411,702.75
  6. Step 6: Final answer
    x = 926,331.19

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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.