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Finding the Third Proportional to 561,424 and 862,958

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Solution

The third proportional to 561,424 and 862,958 is: 1,326,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,424 : 862,958 = 862,958 : x
  2. Step 2: Convert to fraction form
    561,424/862,958 = 862,958/x
  3. Step 3: Cross multiply
    561,424x = 862,958 × 862,958
  4. Step 4: Simplify right side
    561,424x = 744,696,509,764
  5. Step 5: Solve for x
    x = 744,696,509,764/561,424
  6. Step 6: Final answer
    x = 1,326,442.24

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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.