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Finding the Third Proportional to 425,426 and 658,653

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Solution

The third proportional to 425,426 and 658,653 is: 1,019,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,426 : 658,653 = 658,653 : x
  2. Step 2: Convert to fraction form
    425,426/658,653 = 658,653/x
  3. Step 3: Cross multiply
    425,426x = 658,653 × 658,653
  4. Step 4: Simplify right side
    425,426x = 433,823,774,409
  5. Step 5: Solve for x
    x = 433,823,774,409/425,426
  6. Step 6: Final answer
    x = 1,019,739.68

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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.