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Finding the Third Proportional to 249,122 and 391,539

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Solution

The third proportional to 249,122 and 391,539 is: 615,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,122 : 391,539 = 391,539 : x
  2. Step 2: Convert to fraction form
    249,122/391,539 = 391,539/x
  3. Step 3: Cross multiply
    249,122x = 391,539 × 391,539
  4. Step 4: Simplify right side
    249,122x = 153,302,788,521
  5. Step 5: Solve for x
    x = 153,302,788,521/249,122
  6. Step 6: Final answer
    x = 615,372.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.