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Finding the Third Proportional to 366,148 and 532,424

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Solution

The third proportional to 366,148 and 532,424 is: 774,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,148 : 532,424 = 532,424 : x
  2. Step 2: Convert to fraction form
    366,148/532,424 = 532,424/x
  3. Step 3: Cross multiply
    366,148x = 532,424 × 532,424
  4. Step 4: Simplify right side
    366,148x = 283,475,315,776
  5. Step 5: Solve for x
    x = 283,475,315,776/366,148
  6. Step 6: Final answer
    x = 774,209.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.