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Finding the Third Proportional to 291,793 and 634,710.50

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Solution

The third proportional to 291,793 and 634,710.50 is: 1,380,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,793 : 634,710.50 = 634,710.50 : x
  2. Step 2: Convert to fraction form
    291,793/634,710.50 = 634,710.50/x
  3. Step 3: Cross multiply
    291,793x = 634,710.50 × 634,710.50
  4. Step 4: Simplify right side
    291,793x = 402,857,418,810.25
  5. Step 5: Solve for x
    x = 402,857,418,810.25/291,793
  6. Step 6: Final answer
    x = 1,380,627.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.