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Finding the Third Proportional to 454,444.17 and 691,108.45

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Solution

The third proportional to 454,444.17 and 691,108.45 is: 1,051,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,444.17 : 691,108.45 = 691,108.45 : x
  2. Step 2: Convert to fraction form
    454,444.17/691,108.45 = 691,108.45/x
  3. Step 3: Cross multiply
    454,444.17x = 691,108.45 × 691,108.45
  4. Step 4: Simplify right side
    454,444.17x = 477,630,893,980.83
  5. Step 5: Solve for x
    x = 477,630,893,980.83/454,444.17
  6. Step 6: Final answer
    x = 1,051,022.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.