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Finding the Third Proportional to 302,527.50 and 660,072

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Solution

The third proportional to 302,527.50 and 660,072 is: 1,440,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,527.50 : 660,072 = 660,072 : x
  2. Step 2: Convert to fraction form
    302,527.50/660,072 = 660,072/x
  3. Step 3: Cross multiply
    302,527.50x = 660,072 × 660,072
  4. Step 4: Simplify right side
    302,527.50x = 435,695,045,184
  5. Step 5: Solve for x
    x = 435,695,045,184/302,527.50
  6. Step 6: Final answer
    x = 1,440,183.27

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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.