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Finding the Third Proportional to 313,638.75 and 473,374.13

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Solution

The third proportional to 313,638.75 and 473,374.13 is: 714,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,638.75 : 473,374.13 = 473,374.13 : x
  2. Step 2: Convert to fraction form
    313,638.75/473,374.13 = 473,374.13/x
  3. Step 3: Cross multiply
    313,638.75x = 473,374.13 × 473,374.13
  4. Step 4: Simplify right side
    313,638.75x = 224,083,062,219.52
  5. Step 5: Solve for x
    x = 224,083,062,219.52/313,638.75
  6. Step 6: Final answer
    x = 714,462.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.