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Finding the Third Proportional to 632,502 and 978,309

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Solution

The third proportional to 632,502 and 978,309 is: 1,513,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,502 : 978,309 = 978,309 : x
  2. Step 2: Convert to fraction form
    632,502/978,309 = 978,309/x
  3. Step 3: Cross multiply
    632,502x = 978,309 × 978,309
  4. Step 4: Simplify right side
    632,502x = 957,088,499,481
  5. Step 5: Solve for x
    x = 957,088,499,481/632,502
  6. Step 6: Final answer
    x = 1,513,178.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.