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Finding the Third Proportional to 313,566 and 473,265

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Solution

The third proportional to 313,566 and 473,265 is: 714,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,566 : 473,265 = 473,265 : x
  2. Step 2: Convert to fraction form
    313,566/473,265 = 473,265/x
  3. Step 3: Cross multiply
    313,566x = 473,265 × 473,265
  4. Step 4: Simplify right side
    313,566x = 223,979,760,225
  5. Step 5: Solve for x
    x = 223,979,760,225/313,566
  6. Step 6: Final answer
    x = 714,298.62

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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.