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Finding the Third Proportional to 317,404 and 430,587

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Solution

The third proportional to 317,404 and 430,587 is: 584,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,404 : 430,587 = 430,587 : x
  2. Step 2: Convert to fraction form
    317,404/430,587 = 430,587/x
  3. Step 3: Cross multiply
    317,404x = 430,587 × 430,587
  4. Step 4: Simplify right side
    317,404x = 185,405,164,569
  5. Step 5: Solve for x
    x = 185,405,164,569/317,404
  6. Step 6: Final answer
    x = 584,129.89

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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.