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Finding the Third Proportional to 321,594 and 472,756

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Solution

The third proportional to 321,594 and 472,756 is: 694,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,594 : 472,756 = 472,756 : x
  2. Step 2: Convert to fraction form
    321,594/472,756 = 472,756/x
  3. Step 3: Cross multiply
    321,594x = 472,756 × 472,756
  4. Step 4: Simplify right side
    321,594x = 223,498,235,536
  5. Step 5: Solve for x
    x = 223,498,235,536/321,594
  6. Step 6: Final answer
    x = 694,970.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.