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Finding the Third Proportional to 307,024 and 473,660

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Solution

The third proportional to 307,024 and 473,660 is: 730,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,024 : 473,660 = 473,660 : x
  2. Step 2: Convert to fraction form
    307,024/473,660 = 473,660/x
  3. Step 3: Cross multiply
    307,024x = 473,660 × 473,660
  4. Step 4: Simplify right side
    307,024x = 224,353,795,600
  5. Step 5: Solve for x
    x = 224,353,795,600/307,024
  6. Step 6: Final answer
    x = 730,737.00

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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.