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Finding the Third Proportional to 303,213 and 474,232.50

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Solution

The third proportional to 303,213 and 474,232.50 is: 741,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,213 : 474,232.50 = 474,232.50 : x
  2. Step 2: Convert to fraction form
    303,213/474,232.50 = 474,232.50/x
  3. Step 3: Cross multiply
    303,213x = 474,232.50 × 474,232.50
  4. Step 4: Simplify right side
    303,213x = 224,896,464,056.25
  5. Step 5: Solve for x
    x = 224,896,464,056.25/303,213
  6. Step 6: Final answer
    x = 741,711.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.