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Finding the Third Proportional to 370,683 and 807,894

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Solution

The third proportional to 370,683 and 807,894 is: 1,760,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,683 : 807,894 = 807,894 : x
  2. Step 2: Convert to fraction form
    370,683/807,894 = 807,894/x
  3. Step 3: Cross multiply
    370,683x = 807,894 × 807,894
  4. Step 4: Simplify right side
    370,683x = 652,692,715,236
  5. Step 5: Solve for x
    x = 652,692,715,236/370,683
  6. Step 6: Final answer
    x = 1,760,784.05

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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.