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Finding the Third Proportional to 360,868 and 558,707

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Solution

The third proportional to 360,868 and 558,707 is: 865,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,868 : 558,707 = 558,707 : x
  2. Step 2: Convert to fraction form
    360,868/558,707 = 558,707/x
  3. Step 3: Cross multiply
    360,868x = 558,707 × 558,707
  4. Step 4: Simplify right side
    360,868x = 312,153,511,849
  5. Step 5: Solve for x
    x = 312,153,511,849/360,868
  6. Step 6: Final answer
    x = 865,007.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.