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Finding the Third Proportional to 249,095 and 396,552

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Solution

The third proportional to 249,095 and 396,552 is: 631,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,095 : 396,552 = 396,552 : x
  2. Step 2: Convert to fraction form
    249,095/396,552 = 396,552/x
  3. Step 3: Cross multiply
    249,095x = 396,552 × 396,552
  4. Step 4: Simplify right side
    249,095x = 157,253,488,704
  5. Step 5: Solve for x
    x = 157,253,488,704/249,095
  6. Step 6: Final answer
    x = 631,299.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.