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Finding the Third Proportional to 319,366 and 532,248

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Solution

The third proportional to 319,366 and 532,248 is: 887,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,366 : 532,248 = 532,248 : x
  2. Step 2: Convert to fraction form
    319,366/532,248 = 532,248/x
  3. Step 3: Cross multiply
    319,366x = 532,248 × 532,248
  4. Step 4: Simplify right side
    319,366x = 283,287,933,504
  5. Step 5: Solve for x
    x = 283,287,933,504/319,366
  6. Step 6: Final answer
    x = 887,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.