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Finding the Third Proportional to 553,165.77 and 854,318.23

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Solution

The third proportional to 553,165.77 and 854,318.23 is: 1,319,423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,165.77 : 854,318.23 = 854,318.23 : x
  2. Step 2: Convert to fraction form
    553,165.77/854,318.23 = 854,318.23/x
  3. Step 3: Cross multiply
    553,165.77x = 854,318.23 × 854,318.23
  4. Step 4: Simplify right side
    553,165.77x = 729,859,642,248.41
  5. Step 5: Solve for x
    x = 729,859,642,248.41/553,165.77
  6. Step 6: Final answer
    x = 1,319,423.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.