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Finding the Third Proportional to 302,023 and 408,745

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Solution

The third proportional to 302,023 and 408,745 is: 553,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,023 : 408,745 = 408,745 : x
  2. Step 2: Convert to fraction form
    302,023/408,745 = 408,745/x
  3. Step 3: Cross multiply
    302,023x = 408,745 × 408,745
  4. Step 4: Simplify right side
    302,023x = 167,072,475,025
  5. Step 5: Solve for x
    x = 167,072,475,025/302,023
  6. Step 6: Final answer
    x = 553,177.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.