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Finding the Third Proportional to 666,347 and 949,677.50

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Solution

The third proportional to 666,347 and 949,677.50 is: 1,353,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,347 : 949,677.50 = 949,677.50 : x
  2. Step 2: Convert to fraction form
    666,347/949,677.50 = 949,677.50/x
  3. Step 3: Cross multiply
    666,347x = 949,677.50 × 949,677.50
  4. Step 4: Simplify right side
    666,347x = 901,887,354,006.25
  5. Step 5: Solve for x
    x = 901,887,354,006.25/666,347
  6. Step 6: Final answer
    x = 1,353,480.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.