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Finding the Third Proportional to 302,672 and 474,852

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Solution

The third proportional to 302,672 and 474,852 is: 744,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,672 : 474,852 = 474,852 : x
  2. Step 2: Convert to fraction form
    302,672/474,852 = 474,852/x
  3. Step 3: Cross multiply
    302,672x = 474,852 × 474,852
  4. Step 4: Simplify right side
    302,672x = 225,484,421,904
  5. Step 5: Solve for x
    x = 225,484,421,904/302,672
  6. Step 6: Final answer
    x = 744,979.46

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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.