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Finding the Third Proportional to 249,968 and 539,872

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Solution

The third proportional to 249,968 and 539,872 is: 1,165,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,968 : 539,872 = 539,872 : x
  2. Step 2: Convert to fraction form
    249,968/539,872 = 539,872/x
  3. Step 3: Cross multiply
    249,968x = 539,872 × 539,872
  4. Step 4: Simplify right side
    249,968x = 291,461,776,384
  5. Step 5: Solve for x
    x = 291,461,776,384/249,968
  6. Step 6: Final answer
    x = 1,165,996.35

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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.