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Finding the Third Proportional to 576,436.50 and 916,165.69

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Solution

The third proportional to 576,436.50 and 916,165.69 is: 1,456,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,436.50 : 916,165.69 = 916,165.69 : x
  2. Step 2: Convert to fraction form
    576,436.50/916,165.69 = 916,165.69/x
  3. Step 3: Cross multiply
    576,436.50x = 916,165.69 × 916,165.69
  4. Step 4: Simplify right side
    576,436.50x = 839,359,566,952.35
  5. Step 5: Solve for x
    x = 839,359,566,952.35/576,436.50
  6. Step 6: Final answer
    x = 1,456,118.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.