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Finding the Third Proportional to 249,300 and 548,460

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Solution

The third proportional to 249,300 and 548,460 is: 1,206,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,300 : 548,460 = 548,460 : x
  2. Step 2: Convert to fraction form
    249,300/548,460 = 548,460/x
  3. Step 3: Cross multiply
    249,300x = 548,460 × 548,460
  4. Step 4: Simplify right side
    249,300x = 300,808,371,600
  5. Step 5: Solve for x
    x = 300,808,371,600/249,300
  6. Step 6: Final answer
    x = 1,206,612

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.