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Finding the Third Proportional to 249,687 and 546,087

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Solution

The third proportional to 249,687 and 546,087 is: 1,194,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,687 : 546,087 = 546,087 : x
  2. Step 2: Convert to fraction form
    249,687/546,087 = 546,087/x
  3. Step 3: Cross multiply
    249,687x = 546,087 × 546,087
  4. Step 4: Simplify right side
    249,687x = 298,211,011,569
  5. Step 5: Solve for x
    x = 298,211,011,569/249,687
  6. Step 6: Final answer
    x = 1,194,339.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.