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Finding the Third Proportional to 374,818 and 803,204

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Solution

The third proportional to 374,818 and 803,204 is: 1,721,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,818 : 803,204 = 803,204 : x
  2. Step 2: Convert to fraction form
    374,818/803,204 = 803,204/x
  3. Step 3: Cross multiply
    374,818x = 803,204 × 803,204
  4. Step 4: Simplify right side
    374,818x = 645,136,665,616
  5. Step 5: Solve for x
    x = 645,136,665,616/374,818
  6. Step 6: Final answer
    x = 1,721,199.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.