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Finding the Third Proportional to 249,344 and 540,736

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Solution

The third proportional to 249,344 and 540,736 is: 1,172,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,344 : 540,736 = 540,736 : x
  2. Step 2: Convert to fraction form
    249,344/540,736 = 540,736/x
  3. Step 3: Cross multiply
    249,344x = 540,736 × 540,736
  4. Step 4: Simplify right side
    249,344x = 292,395,421,696
  5. Step 5: Solve for x
    x = 292,395,421,696/249,344
  6. Step 6: Final answer
    x = 1,172,658.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.