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Finding the Third Proportional to 249,064 and 540,464

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Solution

The third proportional to 249,064 and 540,464 is: 1,172,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,064 : 540,464 = 540,464 : x
  2. Step 2: Convert to fraction form
    249,064/540,464 = 540,464/x
  3. Step 3: Cross multiply
    249,064x = 540,464 × 540,464
  4. Step 4: Simplify right side
    249,064x = 292,101,335,296
  5. Step 5: Solve for x
    x = 292,101,335,296/249,064
  6. Step 6: Final answer
    x = 1,172,796.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.