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Finding the Third Proportional to 285,632 and 603,072

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Solution

The third proportional to 285,632 and 603,072 is: 1,273,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,632 : 603,072 = 603,072 : x
  2. Step 2: Convert to fraction form
    285,632/603,072 = 603,072/x
  3. Step 3: Cross multiply
    285,632x = 603,072 × 603,072
  4. Step 4: Simplify right side
    285,632x = 363,695,837,184
  5. Step 5: Solve for x
    x = 363,695,837,184/285,632
  6. Step 6: Final answer
    x = 1,273,302.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.