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Finding the Third Proportional to 249,442 and 547,174

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Solution

The third proportional to 249,442 and 547,174 is: 1,200,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,442 : 547,174 = 547,174 : x
  2. Step 2: Convert to fraction form
    249,442/547,174 = 547,174/x
  3. Step 3: Cross multiply
    249,442x = 547,174 × 547,174
  4. Step 4: Simplify right side
    249,442x = 299,399,386,276
  5. Step 5: Solve for x
    x = 299,399,386,276/249,442
  6. Step 6: Final answer
    x = 1,200,276.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.