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Finding the Third Proportional to 425,871 and 659,307

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Solution

The third proportional to 425,871 and 659,307 is: 1,020,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,871 : 659,307 = 659,307 : x
  2. Step 2: Convert to fraction form
    425,871/659,307 = 659,307/x
  3. Step 3: Cross multiply
    425,871x = 659,307 × 659,307
  4. Step 4: Simplify right side
    425,871x = 434,685,720,249
  5. Step 5: Solve for x
    x = 434,685,720,249/425,871
  6. Step 6: Final answer
    x = 1,020,698.10

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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.