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Finding the Third Proportional to 370,908 and 794,304

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Solution

The third proportional to 370,908 and 794,304 is: 1,701,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,908 : 794,304 = 794,304 : x
  2. Step 2: Convert to fraction form
    370,908/794,304 = 794,304/x
  3. Step 3: Cross multiply
    370,908x = 794,304 × 794,304
  4. Step 4: Simplify right side
    370,908x = 630,918,844,416
  5. Step 5: Solve for x
    x = 630,918,844,416/370,908
  6. Step 6: Final answer
    x = 1,701,011.69

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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.