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Finding the Third Proportional to 416,710.13 and 630,874.69

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Solution

The third proportional to 416,710.13 and 630,874.69 is: 955,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,710.13 : 630,874.69 = 630,874.69 : x
  2. Step 2: Convert to fraction form
    416,710.13/630,874.69 = 630,874.69/x
  3. Step 3: Cross multiply
    416,710.13x = 630,874.69 × 630,874.69
  4. Step 4: Simplify right side
    416,710.13x = 398,002,871,328.22
  5. Step 5: Solve for x
    x = 398,002,871,328.22/416,710.13
  6. Step 6: Final answer
    x = 955,107.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.