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Finding the Third Proportional to 317,151 and 473,265

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Solution

The third proportional to 317,151 and 473,265 is: 706,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,151 : 473,265 = 473,265 : x
  2. Step 2: Convert to fraction form
    317,151/473,265 = 473,265/x
  3. Step 3: Cross multiply
    317,151x = 473,265 × 473,265
  4. Step 4: Simplify right side
    317,151x = 223,979,760,225
  5. Step 5: Solve for x
    x = 223,979,760,225/317,151
  6. Step 6: Final answer
    x = 706,224.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.