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Finding the Third Proportional to 442,872 and 705,030

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Solution

The third proportional to 442,872 and 705,030 is: 1,122,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,872 : 705,030 = 705,030 : x
  2. Step 2: Convert to fraction form
    442,872/705,030 = 705,030/x
  3. Step 3: Cross multiply
    442,872x = 705,030 × 705,030
  4. Step 4: Simplify right side
    442,872x = 497,067,300,900
  5. Step 5: Solve for x
    x = 497,067,300,900/442,872
  6. Step 6: Final answer
    x = 1,122,372.38

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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.