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Finding the Third Proportional to 249,620 and 538,602

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Solution

The third proportional to 249,620 and 538,602 is: 1,162,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,620 : 538,602 = 538,602 : x
  2. Step 2: Convert to fraction form
    249,620/538,602 = 538,602/x
  3. Step 3: Cross multiply
    249,620x = 538,602 × 538,602
  4. Step 4: Simplify right side
    249,620x = 290,092,114,404
  5. Step 5: Solve for x
    x = 290,092,114,404/249,620
  6. Step 6: Final answer
    x = 1,162,134.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.