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Finding the Third Proportional to 291,789 and 634,702.50

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Solution

The third proportional to 291,789 and 634,702.50 is: 1,380,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,789 : 634,702.50 = 634,702.50 : x
  2. Step 2: Convert to fraction form
    291,789/634,702.50 = 634,702.50/x
  3. Step 3: Cross multiply
    291,789x = 634,702.50 × 634,702.50
  4. Step 4: Simplify right side
    291,789x = 402,847,263,506.25
  5. Step 5: Solve for x
    x = 402,847,263,506.25/291,789
  6. Step 6: Final answer
    x = 1,380,611.55

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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.