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Finding the Third Proportional to 249,949 and 539,822

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Solution

The third proportional to 249,949 and 539,822 is: 1,165,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,949 : 539,822 = 539,822 : x
  2. Step 2: Convert to fraction form
    249,949/539,822 = 539,822/x
  3. Step 3: Cross multiply
    249,949x = 539,822 × 539,822
  4. Step 4: Simplify right side
    249,949x = 291,407,791,684
  5. Step 5: Solve for x
    x = 291,407,791,684/249,949
  6. Step 6: Final answer
    x = 1,165,869.00

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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.