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Finding the Third Proportional to 249,602.50 and 538,571

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Solution

The third proportional to 249,602.50 and 538,571 is: 1,162,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,602.50 : 538,571 = 538,571 : x
  2. Step 2: Convert to fraction form
    249,602.50/538,571 = 538,571/x
  3. Step 3: Cross multiply
    249,602.50x = 538,571 × 538,571
  4. Step 4: Simplify right side
    249,602.50x = 290,058,722,041
  5. Step 5: Solve for x
    x = 290,058,722,041/249,602.50
  6. Step 6: Final answer
    x = 1,162,082.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.