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Finding the Third Proportional to 249,276 and 540,612

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Solution

The third proportional to 249,276 and 540,612 is: 1,172,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,276 : 540,612 = 540,612 : x
  2. Step 2: Convert to fraction form
    249,276/540,612 = 540,612/x
  3. Step 3: Cross multiply
    249,276x = 540,612 × 540,612
  4. Step 4: Simplify right side
    249,276x = 292,261,334,544
  5. Step 5: Solve for x
    x = 292,261,334,544/249,276
  6. Step 6: Final answer
    x = 1,172,440.73

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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.