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Finding the Third Proportional to 315,174 and 691,602

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Solution

The third proportional to 315,174 and 691,602 is: 1,517,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,174 : 691,602 = 691,602 : x
  2. Step 2: Convert to fraction form
    315,174/691,602 = 691,602/x
  3. Step 3: Cross multiply
    315,174x = 691,602 × 691,602
  4. Step 4: Simplify right side
    315,174x = 478,313,326,404
  5. Step 5: Solve for x
    x = 478,313,326,404/315,174
  6. Step 6: Final answer
    x = 1,517,616.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.