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Finding the Third Proportional to 361,746 and 566,595

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Solution

The third proportional to 361,746 and 566,595 is: 887,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,746 : 566,595 = 566,595 : x
  2. Step 2: Convert to fraction form
    361,746/566,595 = 566,595/x
  3. Step 3: Cross multiply
    361,746x = 566,595 × 566,595
  4. Step 4: Simplify right side
    361,746x = 321,029,894,025
  5. Step 5: Solve for x
    x = 321,029,894,025/361,746
  6. Step 6: Final answer
    x = 887,445.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.