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Finding the Third Proportional to 316,851 and 704,543

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Solution

The third proportional to 316,851 and 704,543 is: 1,566,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,851 : 704,543 = 704,543 : x
  2. Step 2: Convert to fraction form
    316,851/704,543 = 704,543/x
  3. Step 3: Cross multiply
    316,851x = 704,543 × 704,543
  4. Step 4: Simplify right side
    316,851x = 496,380,838,849
  5. Step 5: Solve for x
    x = 496,380,838,849/316,851
  6. Step 6: Final answer
    x = 1,566,606.51

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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.