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Finding the Third Proportional to 324,518 and 484,076

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Solution

The third proportional to 324,518 and 484,076 is: 722,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,518 : 484,076 = 484,076 : x
  2. Step 2: Convert to fraction form
    324,518/484,076 = 484,076/x
  3. Step 3: Cross multiply
    324,518x = 484,076 × 484,076
  4. Step 4: Simplify right side
    324,518x = 234,329,573,776
  5. Step 5: Solve for x
    x = 234,329,573,776/324,518
  6. Step 6: Final answer
    x = 722,084.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.