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Finding the Third Proportional to 627,331.50 and 997,047

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Solution

The third proportional to 627,331.50 and 997,047 is: 1,584,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,331.50 : 997,047 = 997,047 : x
  2. Step 2: Convert to fraction form
    627,331.50/997,047 = 997,047/x
  3. Step 3: Cross multiply
    627,331.50x = 997,047 × 997,047
  4. Step 4: Simplify right side
    627,331.50x = 994,102,720,209
  5. Step 5: Solve for x
    x = 994,102,720,209/627,331.50
  6. Step 6: Final answer
    x = 1,584,652.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.