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Finding the Third Proportional to 457,231 and 712,022

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Solution

The third proportional to 457,231 and 712,022 is: 1,108,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,231 : 712,022 = 712,022 : x
  2. Step 2: Convert to fraction form
    457,231/712,022 = 712,022/x
  3. Step 3: Cross multiply
    457,231x = 712,022 × 712,022
  4. Step 4: Simplify right side
    457,231x = 506,975,328,484
  5. Step 5: Solve for x
    x = 506,975,328,484/457,231
  6. Step 6: Final answer
    x = 1,108,794.74

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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.