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Finding the Third Proportional to 429,382.13 and 583,144.13

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Solution

The third proportional to 429,382.13 and 583,144.13 is: 791,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,382.13 : 583,144.13 = 583,144.13 : x
  2. Step 2: Convert to fraction form
    429,382.13/583,144.13 = 583,144.13/x
  3. Step 3: Cross multiply
    429,382.13x = 583,144.13 × 583,144.13
  4. Step 4: Simplify right side
    429,382.13x = 340,057,070,522.02
  5. Step 5: Solve for x
    x = 340,057,070,522.02/429,382.13
  6. Step 6: Final answer
    x = 791,968.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.