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Finding the Third Proportional to 632,506 and 978,316

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Solution

The third proportional to 632,506 and 978,316 is: 1,513,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,506 : 978,316 = 978,316 : x
  2. Step 2: Convert to fraction form
    632,506/978,316 = 978,316/x
  3. Step 3: Cross multiply
    632,506x = 978,316 × 978,316
  4. Step 4: Simplify right side
    632,506x = 957,102,195,856
  5. Step 5: Solve for x
    x = 957,102,195,856/632,506
  6. Step 6: Final answer
    x = 1,513,190.70

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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.