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Finding the Third Proportional to 249,856 and 544,576

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Solution

The third proportional to 249,856 and 544,576 is: 1,186,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,856 : 544,576 = 544,576 : x
  2. Step 2: Convert to fraction form
    249,856/544,576 = 544,576/x
  3. Step 3: Cross multiply
    249,856x = 544,576 × 544,576
  4. Step 4: Simplify right side
    249,856x = 296,563,019,776
  5. Step 5: Solve for x
    x = 296,563,019,776/249,856
  6. Step 6: Final answer
    x = 1,186,935.75

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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.