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Finding the Third Proportional to 400,114 and 619,340

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Solution

The third proportional to 400,114 and 619,340 is: 958,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,114 : 619,340 = 619,340 : x
  2. Step 2: Convert to fraction form
    400,114/619,340 = 619,340/x
  3. Step 3: Cross multiply
    400,114x = 619,340 × 619,340
  4. Step 4: Simplify right side
    400,114x = 383,582,035,600
  5. Step 5: Solve for x
    x = 383,582,035,600/400,114
  6. Step 6: Final answer
    x = 958,681.86

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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.