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Finding the Third Proportional to 343,510.88 and 474,667.13

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Solution

The third proportional to 343,510.88 and 474,667.13 is: 655,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,510.88 : 474,667.13 = 474,667.13 : x
  2. Step 2: Convert to fraction form
    343,510.88/474,667.13 = 474,667.13/x
  3. Step 3: Cross multiply
    343,510.88x = 474,667.13 × 474,667.13
  4. Step 4: Simplify right side
    343,510.88x = 225,308,879,555.77
  5. Step 5: Solve for x
    x = 225,308,879,555.77/343,510.88
  6. Step 6: Final answer
    x = 655,900.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.