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Finding the Third Proportional to 451,612.13 and 619,263.56

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Solution

The third proportional to 451,612.13 and 619,263.56 is: 849,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,612.13 : 619,263.56 = 619,263.56 : x
  2. Step 2: Convert to fraction form
    451,612.13/619,263.56 = 619,263.56/x
  3. Step 3: Cross multiply
    451,612.13x = 619,263.56 × 619,263.56
  4. Step 4: Simplify right side
    451,612.13x = 383,487,359,840.19
  5. Step 5: Solve for x
    x = 383,487,359,840.19/451,612.13
  6. Step 6: Final answer
    x = 849,152.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.