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Finding the Third Proportional to 253,746 and 546,468

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Solution

The third proportional to 253,746 and 546,468 is: 1,176,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,746 : 546,468 = 546,468 : x
  2. Step 2: Convert to fraction form
    253,746/546,468 = 546,468/x
  3. Step 3: Cross multiply
    253,746x = 546,468 × 546,468
  4. Step 4: Simplify right side
    253,746x = 298,627,275,024
  5. Step 5: Solve for x
    x = 298,627,275,024/253,746
  6. Step 6: Final answer
    x = 1,176,874.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.