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Finding the Third Proportional to 306,972 and 473,571

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Solution

The third proportional to 306,972 and 473,571 is: 730,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,972 : 473,571 = 473,571 : x
  2. Step 2: Convert to fraction form
    306,972/473,571 = 473,571/x
  3. Step 3: Cross multiply
    306,972x = 473,571 × 473,571
  4. Step 4: Simplify right side
    306,972x = 224,269,492,041
  5. Step 5: Solve for x
    x = 224,269,492,041/306,972
  6. Step 6: Final answer
    x = 730,586.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.