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Finding the Third Proportional to 249,285 and 544,254

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Solution

The third proportional to 249,285 and 544,254 is: 1,188,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,285 : 544,254 = 544,254 : x
  2. Step 2: Convert to fraction form
    249,285/544,254 = 544,254/x
  3. Step 3: Cross multiply
    249,285x = 544,254 × 544,254
  4. Step 4: Simplify right side
    249,285x = 296,212,416,516
  5. Step 5: Solve for x
    x = 296,212,416,516/249,285
  6. Step 6: Final answer
    x = 1,188,248.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.