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Finding the Third Proportional to 442,854 and 705,004

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Solution

The third proportional to 442,854 and 705,004 is: 1,122,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854 : 705,004 = 705,004 : x
  2. Step 2: Convert to fraction form
    442,854/705,004 = 705,004/x
  3. Step 3: Cross multiply
    442,854x = 705,004 × 705,004
  4. Step 4: Simplify right side
    442,854x = 497,030,640,016
  5. Step 5: Solve for x
    x = 497,030,640,016/442,854
  6. Step 6: Final answer
    x = 1,122,335.22

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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.