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Finding the Third Proportional to 249,538 and 325,464

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Solution

The third proportional to 249,538 and 325,464 is: 424,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,538 : 325,464 = 325,464 : x
  2. Step 2: Convert to fraction form
    249,538/325,464 = 325,464/x
  3. Step 3: Cross multiply
    249,538x = 325,464 × 325,464
  4. Step 4: Simplify right side
    249,538x = 105,926,815,296
  5. Step 5: Solve for x
    x = 105,926,815,296/249,538
  6. Step 6: Final answer
    x = 424,491.72

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.