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Finding the Third Proportional to 462,712 and 699,904

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Solution

The third proportional to 462,712 and 699,904 is: 1,058,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,712 : 699,904 = 699,904 : x
  2. Step 2: Convert to fraction form
    462,712/699,904 = 699,904/x
  3. Step 3: Cross multiply
    462,712x = 699,904 × 699,904
  4. Step 4: Simplify right side
    462,712x = 489,865,609,216
  5. Step 5: Solve for x
    x = 489,865,609,216/462,712
  6. Step 6: Final answer
    x = 1,058,683.61

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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.