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Finding the Third Proportional to 307,071 and 473,728.50

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Solution

The third proportional to 307,071 and 473,728.50 is: 730,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,071 : 473,728.50 = 473,728.50 : x
  2. Step 2: Convert to fraction form
    307,071/473,728.50 = 473,728.50/x
  3. Step 3: Cross multiply
    307,071x = 473,728.50 × 473,728.50
  4. Step 4: Simplify right side
    307,071x = 224,418,691,712.25
  5. Step 5: Solve for x
    x = 224,418,691,712.25/307,071
  6. Step 6: Final answer
    x = 730,836.49

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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.