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Finding the Third Proportional to 249,384 and 534,216

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Solution

The third proportional to 249,384 and 534,216 is: 1,144,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,384 : 534,216 = 534,216 : x
  2. Step 2: Convert to fraction form
    249,384/534,216 = 534,216/x
  3. Step 3: Cross multiply
    249,384x = 534,216 × 534,216
  4. Step 4: Simplify right side
    249,384x = 285,386,734,656
  5. Step 5: Solve for x
    x = 285,386,734,656/249,384
  6. Step 6: Final answer
    x = 1,144,366.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.