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Finding the Third Proportional to 317,448 and 430,650

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Solution

The third proportional to 317,448 and 430,650 is: 584,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,448 : 430,650 = 430,650 : x
  2. Step 2: Convert to fraction form
    317,448/430,650 = 430,650/x
  3. Step 3: Cross multiply
    317,448x = 430,650 × 430,650
  4. Step 4: Simplify right side
    317,448x = 185,459,422,500
  5. Step 5: Solve for x
    x = 185,459,422,500/317,448
  6. Step 6: Final answer
    x = 584,219.85

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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.