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Finding the Third Proportional to 249,915 and 544,200

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Solution

The third proportional to 249,915 and 544,200 is: 1,185,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,915 : 544,200 = 544,200 : x
  2. Step 2: Convert to fraction form
    249,915/544,200 = 544,200/x
  3. Step 3: Cross multiply
    249,915x = 544,200 × 544,200
  4. Step 4: Simplify right side
    249,915x = 296,153,640,000
  5. Step 5: Solve for x
    x = 296,153,640,000/249,915
  6. Step 6: Final answer
    x = 1,185,017.47

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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.