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Finding the Third Proportional to 462,714 and 699,907

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Solution

The third proportional to 462,714 and 699,907 is: 1,058,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,714 : 699,907 = 699,907 : x
  2. Step 2: Convert to fraction form
    462,714/699,907 = 699,907/x
  3. Step 3: Cross multiply
    462,714x = 699,907 × 699,907
  4. Step 4: Simplify right side
    462,714x = 489,869,808,649
  5. Step 5: Solve for x
    x = 489,869,808,649/462,714
  6. Step 6: Final answer
    x = 1,058,688.11

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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.