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Finding the Third Proportional to 666,486 and 976,003.50

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Solution

The third proportional to 666,486 and 976,003.50 is: 1,429,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,486 : 976,003.50 = 976,003.50 : x
  2. Step 2: Convert to fraction form
    666,486/976,003.50 = 976,003.50/x
  3. Step 3: Cross multiply
    666,486x = 976,003.50 × 976,003.50
  4. Step 4: Simplify right side
    666,486x = 952,582,832,012.25
  5. Step 5: Solve for x
    x = 952,582,832,012.25/666,486
  6. Step 6: Final answer
    x = 1,429,261.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.