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Finding the Third Proportional to 417,786 and 636,471

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Solution

The third proportional to 417,786 and 636,471 is: 969,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,786 : 636,471 = 636,471 : x
  2. Step 2: Convert to fraction form
    417,786/636,471 = 636,471/x
  3. Step 3: Cross multiply
    417,786x = 636,471 × 636,471
  4. Step 4: Simplify right side
    417,786x = 405,095,333,841
  5. Step 5: Solve for x
    x = 405,095,333,841/417,786
  6. Step 6: Final answer
    x = 969,624.00

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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.