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Finding the Third Proportional to 319,152 and 472,566

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Solution

The third proportional to 319,152 and 472,566 is: 699,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,152 : 472,566 = 472,566 : x
  2. Step 2: Convert to fraction form
    319,152/472,566 = 472,566/x
  3. Step 3: Cross multiply
    319,152x = 472,566 × 472,566
  4. Step 4: Simplify right side
    319,152x = 223,318,624,356
  5. Step 5: Solve for x
    x = 223,318,624,356/319,152
  6. Step 6: Final answer
    x = 699,724.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.