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Finding the Third Proportional to 363,922 and 560,948

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Solution

The third proportional to 363,922 and 560,948 is: 864,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,922 : 560,948 = 560,948 : x
  2. Step 2: Convert to fraction form
    363,922/560,948 = 560,948/x
  3. Step 3: Cross multiply
    363,922x = 560,948 × 560,948
  4. Step 4: Simplify right side
    363,922x = 314,662,658,704
  5. Step 5: Solve for x
    x = 314,662,658,704/363,922
  6. Step 6: Final answer
    x = 864,643.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.