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Finding the Third Proportional to 468,680 and 699,952

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Solution

The third proportional to 468,680 and 699,952 is: 1,045,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,680 : 699,952 = 699,952 : x
  2. Step 2: Convert to fraction form
    468,680/699,952 = 699,952/x
  3. Step 3: Cross multiply
    468,680x = 699,952 × 699,952
  4. Step 4: Simplify right side
    468,680x = 489,932,802,304
  5. Step 5: Solve for x
    x = 489,932,802,304/468,680
  6. Step 6: Final answer
    x = 1,045,346.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.