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Finding the Third Proportional to 249,722.16 and 539,346.30

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Solution

The third proportional to 249,722.16 and 539,346.30 is: 1,164,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,722.16 : 539,346.30 = 539,346.30 : x
  2. Step 2: Convert to fraction form
    249,722.16/539,346.30 = 539,346.30/x
  3. Step 3: Cross multiply
    249,722.16x = 539,346.30 × 539,346.30
  4. Step 4: Simplify right side
    249,722.16x = 290,894,436,380.06
  5. Step 5: Solve for x
    x = 290,894,436,380.06/249,722.16
  6. Step 6: Final answer
    x = 1,164,872.36

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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.