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Finding the Third Proportional to 302,712 and 473,832

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Solution

The third proportional to 302,712 and 473,832 is: 741,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,712 : 473,832 = 473,832 : x
  2. Step 2: Convert to fraction form
    302,712/473,832 = 473,832/x
  3. Step 3: Cross multiply
    302,712x = 473,832 × 473,832
  4. Step 4: Simplify right side
    302,712x = 224,516,764,224
  5. Step 5: Solve for x
    x = 224,516,764,224/302,712
  6. Step 6: Final answer
    x = 741,684.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.