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Finding the Third Proportional to 302,432.50 and 660,206

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Solution

The third proportional to 302,432.50 and 660,206 is: 1,441,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,432.50 : 660,206 = 660,206 : x
  2. Step 2: Convert to fraction form
    302,432.50/660,206 = 660,206/x
  3. Step 3: Cross multiply
    302,432.50x = 660,206 × 660,206
  4. Step 4: Simplify right side
    302,432.50x = 435,871,962,436
  5. Step 5: Solve for x
    x = 435,871,962,436/302,432.50
  6. Step 6: Final answer
    x = 1,441,220.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.