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Finding the Third Proportional to 367,146 and 561,585

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Solution

The third proportional to 367,146 and 561,585 is: 858,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,146 : 561,585 = 561,585 : x
  2. Step 2: Convert to fraction form
    367,146/561,585 = 561,585/x
  3. Step 3: Cross multiply
    367,146x = 561,585 × 561,585
  4. Step 4: Simplify right side
    367,146x = 315,377,712,225
  5. Step 5: Solve for x
    x = 315,377,712,225/367,146
  6. Step 6: Final answer
    x = 858,998.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.