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Finding the Third Proportional to 317,395.13 and 430,575.75

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Solution

The third proportional to 317,395.13 and 430,575.75 is: 584,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,395.13 : 430,575.75 = 430,575.75 : x
  2. Step 2: Convert to fraction form
    317,395.13/430,575.75 = 430,575.75/x
  3. Step 3: Cross multiply
    317,395.13x = 430,575.75 × 430,575.75
  4. Step 4: Simplify right side
    317,395.13x = 185,395,476,488.06
  5. Step 5: Solve for x
    x = 185,395,476,488.06/317,395.13
  6. Step 6: Final answer
    x = 584,115.70

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