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Finding the Third Proportional to 322,258.50 and 701,865

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Solution

The third proportional to 322,258.50 and 701,865 is: 1,528,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,258.50 : 701,865 = 701,865 : x
  2. Step 2: Convert to fraction form
    322,258.50/701,865 = 701,865/x
  3. Step 3: Cross multiply
    322,258.50x = 701,865 × 701,865
  4. Step 4: Simplify right side
    322,258.50x = 492,614,478,225
  5. Step 5: Solve for x
    x = 492,614,478,225/322,258.50
  6. Step 6: Final answer
    x = 1,528,631.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.