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Finding the Third Proportional to 417,795 and 636,484.50

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Solution

The third proportional to 417,795 and 636,484.50 is: 969,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,795 : 636,484.50 = 636,484.50 : x
  2. Step 2: Convert to fraction form
    417,795/636,484.50 = 636,484.50/x
  3. Step 3: Cross multiply
    417,795x = 636,484.50 × 636,484.50
  4. Step 4: Simplify right side
    417,795x = 405,112,518,740.25
  5. Step 5: Solve for x
    x = 405,112,518,740.25/417,795
  6. Step 6: Final answer
    x = 969,644.25

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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.