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Finding the Third Proportional to 364,032 and 794,048

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Solution

The third proportional to 364,032 and 794,048 is: 1,732,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,032 : 794,048 = 794,048 : x
  2. Step 2: Convert to fraction form
    364,032/794,048 = 794,048/x
  3. Step 3: Cross multiply
    364,032x = 794,048 × 794,048
  4. Step 4: Simplify right side
    364,032x = 630,512,226,304
  5. Step 5: Solve for x
    x = 630,512,226,304/364,032
  6. Step 6: Final answer
    x = 1,732,024.18

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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.