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Finding the Third Proportional to 288,873 and 695,871

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Solution

The third proportional to 288,873 and 695,871 is: 1,676,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,873 : 695,871 = 695,871 : x
  2. Step 2: Convert to fraction form
    288,873/695,871 = 695,871/x
  3. Step 3: Cross multiply
    288,873x = 695,871 × 695,871
  4. Step 4: Simplify right side
    288,873x = 484,236,448,641
  5. Step 5: Solve for x
    x = 484,236,448,641/288,873
  6. Step 6: Final answer
    x = 1,676,295.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.