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Finding the Third Proportional to 316,857 and 704,553

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Solution

The third proportional to 316,857 and 704,553 is: 1,566,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,857 : 704,553 = 704,553 : x
  2. Step 2: Convert to fraction form
    316,857/704,553 = 704,553/x
  3. Step 3: Cross multiply
    316,857x = 704,553 × 704,553
  4. Step 4: Simplify right side
    316,857x = 496,394,929,809
  5. Step 5: Solve for x
    x = 496,394,929,809/316,857
  6. Step 6: Final answer
    x = 1,566,621.31

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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.