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Finding the Third Proportional to 316,869 and 704,588

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Solution

The third proportional to 316,869 and 704,588 is: 1,566,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,869 : 704,588 = 704,588 : x
  2. Step 2: Convert to fraction form
    316,869/704,588 = 704,588/x
  3. Step 3: Cross multiply
    316,869x = 704,588 × 704,588
  4. Step 4: Simplify right side
    316,869x = 496,444,249,744
  5. Step 5: Solve for x
    x = 496,444,249,744/316,869
  6. Step 6: Final answer
    x = 1,566,717.63

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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.