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Finding the Third Proportional to 307,018 and 473,652

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Solution

The third proportional to 307,018 and 473,652 is: 730,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,018 : 473,652 = 473,652 : x
  2. Step 2: Convert to fraction form
    307,018/473,652 = 473,652/x
  3. Step 3: Cross multiply
    307,018x = 473,652 × 473,652
  4. Step 4: Simplify right side
    307,018x = 224,346,217,104
  5. Step 5: Solve for x
    x = 224,346,217,104/307,018
  6. Step 6: Final answer
    x = 730,726.59

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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.