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Finding the Third Proportional to 315,090.75 and 472,866

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Solution

The third proportional to 315,090.75 and 472,866 is: 709,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,090.75 : 472,866 = 472,866 : x
  2. Step 2: Convert to fraction form
    315,090.75/472,866 = 472,866/x
  3. Step 3: Cross multiply
    315,090.75x = 472,866 × 472,866
  4. Step 4: Simplify right side
    315,090.75x = 223,602,253,956
  5. Step 5: Solve for x
    x = 223,602,253,956/315,090.75
  6. Step 6: Final answer
    x = 709,643.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.