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Finding the Third Proportional to 249,997.50 and 547,479

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Solution

The third proportional to 249,997.50 and 547,479 is: 1,198,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,997.50 : 547,479 = 547,479 : x
  2. Step 2: Convert to fraction form
    249,997.50/547,479 = 547,479/x
  3. Step 3: Cross multiply
    249,997.50x = 547,479 × 547,479
  4. Step 4: Simplify right side
    249,997.50x = 299,733,255,441
  5. Step 5: Solve for x
    x = 299,733,255,441/249,997.50
  6. Step 6: Final answer
    x = 1,198,945.01

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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.