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Finding the Third Proportional to 352,892 and 560,878

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Solution

The third proportional to 352,892 and 560,878 is: 891,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,892 : 560,878 = 560,878 : x
  2. Step 2: Convert to fraction form
    352,892/560,878 = 560,878/x
  3. Step 3: Cross multiply
    352,892x = 560,878 × 560,878
  4. Step 4: Simplify right side
    352,892x = 314,584,130,884
  5. Step 5: Solve for x
    x = 314,584,130,884/352,892
  6. Step 6: Final answer
    x = 891,445.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.