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Finding the Third Proportional to 442,829 and 704,970

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Solution

The third proportional to 442,829 and 704,970 is: 1,122,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,829 : 704,970 = 704,970 : x
  2. Step 2: Convert to fraction form
    442,829/704,970 = 704,970/x
  3. Step 3: Cross multiply
    442,829x = 704,970 × 704,970
  4. Step 4: Simplify right side
    442,829x = 496,982,700,900
  5. Step 5: Solve for x
    x = 496,982,700,900/442,829
  6. Step 6: Final answer
    x = 1,122,290.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.