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Finding the Third Proportional to 253,916 and 546,579

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Solution

The third proportional to 253,916 and 546,579 is: 1,176,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,916 : 546,579 = 546,579 : x
  2. Step 2: Convert to fraction form
    253,916/546,579 = 546,579/x
  3. Step 3: Cross multiply
    253,916x = 546,579 × 546,579
  4. Step 4: Simplify right side
    253,916x = 298,748,603,241
  5. Step 5: Solve for x
    x = 298,748,603,241/253,916
  6. Step 6: Final answer
    x = 1,176,564.70

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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.