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Finding the Third Proportional to 316,865 and 704,575

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Solution

The third proportional to 316,865 and 704,575 is: 1,566,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,865 : 704,575 = 704,575 : x
  2. Step 2: Convert to fraction form
    316,865/704,575 = 704,575/x
  3. Step 3: Cross multiply
    316,865x = 704,575 × 704,575
  4. Step 4: Simplify right side
    316,865x = 496,425,930,625
  5. Step 5: Solve for x
    x = 496,425,930,625/316,865
  6. Step 6: Final answer
    x = 1,566,679.60

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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.