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Finding the Third Proportional to 457,230.75 and 712,014

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Solution

The third proportional to 457,230.75 and 712,014 is: 1,108,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,230.75 : 712,014 = 712,014 : x
  2. Step 2: Convert to fraction form
    457,230.75/712,014 = 712,014/x
  3. Step 3: Cross multiply
    457,230.75x = 712,014 × 712,014
  4. Step 4: Simplify right side
    457,230.75x = 506,963,936,196
  5. Step 5: Solve for x
    x = 506,963,936,196/457,230.75
  6. Step 6: Final answer
    x = 1,108,770.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.