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Finding the Third Proportional to 462,774 and 699,985

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Solution

The third proportional to 462,774 and 699,985 is: 1,058,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,774 : 699,985 = 699,985 : x
  2. Step 2: Convert to fraction form
    462,774/699,985 = 699,985/x
  3. Step 3: Cross multiply
    462,774x = 699,985 × 699,985
  4. Step 4: Simplify right side
    462,774x = 489,979,000,225
  5. Step 5: Solve for x
    x = 489,979,000,225/462,774
  6. Step 6: Final answer
    x = 1,058,786.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.