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Finding the Third Proportional to 374,800 and 812,304

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Solution

The third proportional to 374,800 and 812,304 is: 1,760,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,800 : 812,304 = 812,304 : x
  2. Step 2: Convert to fraction form
    374,800/812,304 = 812,304/x
  3. Step 3: Cross multiply
    374,800x = 812,304 × 812,304
  4. Step 4: Simplify right side
    374,800x = 659,837,788,416
  5. Step 5: Solve for x
    x = 659,837,788,416/374,800
  6. Step 6: Final answer
    x = 1,760,506.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.