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Finding the Third Proportional to 475,216.88 and 729,455.63

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Solution

The third proportional to 475,216.88 and 729,455.63 is: 1,119,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,216.88 : 729,455.63 = 729,455.63 : x
  2. Step 2: Convert to fraction form
    475,216.88/729,455.63 = 729,455.63/x
  3. Step 3: Cross multiply
    475,216.88x = 729,455.63 × 729,455.63
  4. Step 4: Simplify right side
    475,216.88x = 532,105,508,844.14
  5. Step 5: Solve for x
    x = 532,105,508,844.14/475,216.88
  6. Step 6: Final answer
    x = 1,119,710.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.