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Finding the Third Proportional to 302,017.50 and 408,738

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Solution

The third proportional to 302,017.50 and 408,738 is: 553,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,017.50 : 408,738 = 408,738 : x
  2. Step 2: Convert to fraction form
    302,017.50/408,738 = 408,738/x
  3. Step 3: Cross multiply
    302,017.50x = 408,738 × 408,738
  4. Step 4: Simplify right side
    302,017.50x = 167,066,752,644
  5. Step 5: Solve for x
    x = 167,066,752,644/302,017.50
  6. Step 6: Final answer
    x = 553,169.11

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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.