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Finding the Third Proportional to 249,872 and 548,358

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Solution

The third proportional to 249,872 and 548,358 is: 1,203,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,872 : 548,358 = 548,358 : x
  2. Step 2: Convert to fraction form
    249,872/548,358 = 548,358/x
  3. Step 3: Cross multiply
    249,872x = 548,358 × 548,358
  4. Step 4: Simplify right side
    249,872x = 300,696,496,164
  5. Step 5: Solve for x
    x = 300,696,496,164/249,872
  6. Step 6: Final answer
    x = 1,203,402.13

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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.