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Finding the Third Proportional to 425,904 and 659,376

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Solution

The third proportional to 425,904 and 659,376 is: 1,020,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,904 : 659,376 = 659,376 : x
  2. Step 2: Convert to fraction form
    425,904/659,376 = 659,376/x
  3. Step 3: Cross multiply
    425,904x = 659,376 × 659,376
  4. Step 4: Simplify right side
    425,904x = 434,776,709,376
  5. Step 5: Solve for x
    x = 434,776,709,376/425,904
  6. Step 6: Final answer
    x = 1,020,832.65

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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.