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Finding the Third Proportional to 249,216 and 540,498

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Solution

The third proportional to 249,216 and 540,498 is: 1,172,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,216 : 540,498 = 540,498 : x
  2. Step 2: Convert to fraction form
    249,216/540,498 = 540,498/x
  3. Step 3: Cross multiply
    249,216x = 540,498 × 540,498
  4. Step 4: Simplify right side
    249,216x = 292,138,088,004
  5. Step 5: Solve for x
    x = 292,138,088,004/249,216
  6. Step 6: Final answer
    x = 1,172,228.46

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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.