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Finding the Third Proportional to 350,438 and 532,582

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Solution

The third proportional to 350,438 and 532,582 is: 809,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,438 : 532,582 = 532,582 : x
  2. Step 2: Convert to fraction form
    350,438/532,582 = 532,582/x
  3. Step 3: Cross multiply
    350,438x = 532,582 × 532,582
  4. Step 4: Simplify right side
    350,438x = 283,643,586,724
  5. Step 5: Solve for x
    x = 283,643,586,724/350,438
  6. Step 6: Final answer
    x = 809,397.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.