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Finding the Third Proportional to 249,976 and 539,926

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Solution

The third proportional to 249,976 and 539,926 is: 1,166,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,976 : 539,926 = 539,926 : x
  2. Step 2: Convert to fraction form
    249,976/539,926 = 539,926/x
  3. Step 3: Cross multiply
    249,976x = 539,926 × 539,926
  4. Step 4: Simplify right side
    249,976x = 291,520,085,476
  5. Step 5: Solve for x
    x = 291,520,085,476/249,976
  6. Step 6: Final answer
    x = 1,166,192.30

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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.