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Finding the Third Proportional to 632,490 and 978,296

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Solution

The third proportional to 632,490 and 978,296 is: 1,513,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,490 : 978,296 = 978,296 : x
  2. Step 2: Convert to fraction form
    632,490/978,296 = 978,296/x
  3. Step 3: Cross multiply
    632,490x = 978,296 × 978,296
  4. Step 4: Simplify right side
    632,490x = 957,063,063,616
  5. Step 5: Solve for x
    x = 957,063,063,616/632,490
  6. Step 6: Final answer
    x = 1,513,167.11

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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.