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Finding the Third Proportional to 302,212.50 and 662,550

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Solution

The third proportional to 302,212.50 and 662,550 is: 1,452,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,212.50 : 662,550 = 662,550 : x
  2. Step 2: Convert to fraction form
    302,212.50/662,550 = 662,550/x
  3. Step 3: Cross multiply
    302,212.50x = 662,550 × 662,550
  4. Step 4: Simplify right side
    302,212.50x = 438,972,502,500
  5. Step 5: Solve for x
    x = 438,972,502,500/302,212.50
  6. Step 6: Final answer
    x = 1,452,529.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.