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Finding the Third Proportional to 288,684 and 695,466

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Solution

The third proportional to 288,684 and 695,466 is: 1,675,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684 : 695,466 = 695,466 : x
  2. Step 2: Convert to fraction form
    288,684/695,466 = 695,466/x
  3. Step 3: Cross multiply
    288,684x = 695,466 × 695,466
  4. Step 4: Simplify right side
    288,684x = 483,672,957,156
  5. Step 5: Solve for x
    x = 483,672,957,156/288,684
  6. Step 6: Final answer
    x = 1,675,440.82

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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.