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Finding the Third Proportional to 249,489 and 548,752.50

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Solution

The third proportional to 249,489 and 548,752.50 is: 1,206,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,489 : 548,752.50 = 548,752.50 : x
  2. Step 2: Convert to fraction form
    249,489/548,752.50 = 548,752.50/x
  3. Step 3: Cross multiply
    249,489x = 548,752.50 × 548,752.50
  4. Step 4: Simplify right side
    249,489x = 301,129,306,256.25
  5. Step 5: Solve for x
    x = 301,129,306,256.25/249,489
  6. Step 6: Final answer
    x = 1,206,984.30

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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.