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Finding the Third Proportional to 253,918 and 546,583

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Solution

The third proportional to 253,918 and 546,583 is: 1,176,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,918 : 546,583 = 546,583 : x
  2. Step 2: Convert to fraction form
    253,918/546,583 = 546,583/x
  3. Step 3: Cross multiply
    253,918x = 546,583 × 546,583
  4. Step 4: Simplify right side
    253,918x = 298,752,975,889
  5. Step 5: Solve for x
    x = 298,752,975,889/253,918
  6. Step 6: Final answer
    x = 1,176,572.66

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Why These Related Problems?

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