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Finding the Third Proportional to 249,734 and 550,368

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Solution

The third proportional to 249,734 and 550,368 is: 1,212,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,734 : 550,368 = 550,368 : x
  2. Step 2: Convert to fraction form
    249,734/550,368 = 550,368/x
  3. Step 3: Cross multiply
    249,734x = 550,368 × 550,368
  4. Step 4: Simplify right side
    249,734x = 302,904,935,424
  5. Step 5: Solve for x
    x = 302,904,935,424/249,734
  6. Step 6: Final answer
    x = 1,212,910.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.