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Finding the Third Proportional to 316,863 and 704,570

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Solution

The third proportional to 316,863 and 704,570 is: 1,566,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,863 : 704,570 = 704,570 : x
  2. Step 2: Convert to fraction form
    316,863/704,570 = 704,570/x
  3. Step 3: Cross multiply
    316,863x = 704,570 × 704,570
  4. Step 4: Simplify right side
    316,863x = 496,418,884,900
  5. Step 5: Solve for x
    x = 496,418,884,900/316,863
  6. Step 6: Final answer
    x = 1,566,667.25

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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.