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Finding the Third Proportional to 419,195 and 592,585

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Solution

The third proportional to 419,195 and 592,585 is: 837,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,195 : 592,585 = 592,585 : x
  2. Step 2: Convert to fraction form
    419,195/592,585 = 592,585/x
  3. Step 3: Cross multiply
    419,195x = 592,585 × 592,585
  4. Step 4: Simplify right side
    419,195x = 351,156,982,225
  5. Step 5: Solve for x
    x = 351,156,982,225/419,195
  6. Step 6: Final answer
    x = 837,693.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.