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Finding the Third Proportional to 307,032 and 473,672

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Solution

The third proportional to 307,032 and 473,672 is: 730,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,032 : 473,672 = 473,672 : x
  2. Step 2: Convert to fraction form
    307,032/473,672 = 473,672/x
  3. Step 3: Cross multiply
    307,032x = 473,672 × 473,672
  4. Step 4: Simplify right side
    307,032x = 224,365,163,584
  5. Step 5: Solve for x
    x = 224,365,163,584/307,032
  6. Step 6: Final answer
    x = 730,754.98

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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.