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Finding the Third Proportional to 317,594 and 432,651

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Solution

The third proportional to 317,594 and 432,651 is: 589,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,594 : 432,651 = 432,651 : x
  2. Step 2: Convert to fraction form
    317,594/432,651 = 432,651/x
  3. Step 3: Cross multiply
    317,594x = 432,651 × 432,651
  4. Step 4: Simplify right side
    317,594x = 187,186,887,801
  5. Step 5: Solve for x
    x = 187,186,887,801/317,594
  6. Step 6: Final answer
    x = 589,390.50

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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.