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Finding the Third Proportional to 425,808 and 659,214

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Solution

The third proportional to 425,808 and 659,214 is: 1,020,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,808 : 659,214 = 659,214 : x
  2. Step 2: Convert to fraction form
    425,808/659,214 = 659,214/x
  3. Step 3: Cross multiply
    425,808x = 659,214 × 659,214
  4. Step 4: Simplify right side
    425,808x = 434,563,097,796
  5. Step 5: Solve for x
    x = 434,563,097,796/425,808
  6. Step 6: Final answer
    x = 1,020,561.14

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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.