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Finding the Third Proportional to 317,214 and 455,948

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Solution

The third proportional to 317,214 and 455,948 is: 655,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,214 : 455,948 = 455,948 : x
  2. Step 2: Convert to fraction form
    317,214/455,948 = 455,948/x
  3. Step 3: Cross multiply
    317,214x = 455,948 × 455,948
  4. Step 4: Simplify right side
    317,214x = 207,888,578,704
  5. Step 5: Solve for x
    x = 207,888,578,704/317,214
  6. Step 6: Final answer
    x = 655,357.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.