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Finding the Third Proportional to 419,256.75 and 592,678.13

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Solution

The third proportional to 419,256.75 and 592,678.13 is: 837,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,256.75 : 592,678.13 = 592,678.13 : x
  2. Step 2: Convert to fraction form
    419,256.75/592,678.13 = 592,678.13/x
  3. Step 3: Cross multiply
    419,256.75x = 592,678.13 × 592,678.13
  4. Step 4: Simplify right side
    419,256.75x = 351,267,359,853.52
  5. Step 5: Solve for x
    x = 351,267,359,853.52/419,256.75
  6. Step 6: Final answer
    x = 837,833.52

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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.