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Finding the Third Proportional to 249,952 and 539,268

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Solution

The third proportional to 249,952 and 539,268 is: 1,163,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,952 : 539,268 = 539,268 : x
  2. Step 2: Convert to fraction form
    249,952/539,268 = 539,268/x
  3. Step 3: Cross multiply
    249,952x = 539,268 × 539,268
  4. Step 4: Simplify right side
    249,952x = 290,809,975,824
  5. Step 5: Solve for x
    x = 290,809,975,824/249,952
  6. Step 6: Final answer
    x = 1,163,463.29

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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.