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Finding the Third Proportional to 317,216 and 704,416

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Solution

The third proportional to 317,216 and 704,416 is: 1,564,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,216 : 704,416 = 704,416 : x
  2. Step 2: Convert to fraction form
    317,216/704,416 = 704,416/x
  3. Step 3: Cross multiply
    317,216x = 704,416 × 704,416
  4. Step 4: Simplify right side
    317,216x = 496,201,901,056
  5. Step 5: Solve for x
    x = 496,201,901,056/317,216
  6. Step 6: Final answer
    x = 1,564,239.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.