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Finding the Third Proportional to 322,030 and 699,386

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Solution

The third proportional to 322,030 and 699,386 is: 1,518,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,030 : 699,386 = 699,386 : x
  2. Step 2: Convert to fraction form
    322,030/699,386 = 699,386/x
  3. Step 3: Cross multiply
    322,030x = 699,386 × 699,386
  4. Step 4: Simplify right side
    322,030x = 489,140,776,996
  5. Step 5: Solve for x
    x = 489,140,776,996/322,030
  6. Step 6: Final answer
    x = 1,518,929.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.