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Finding the Third Proportional to 370,810 and 794,108

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Solution

The third proportional to 370,810 and 794,108 is: 1,700,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,810 : 794,108 = 794,108 : x
  2. Step 2: Convert to fraction form
    370,810/794,108 = 794,108/x
  3. Step 3: Cross multiply
    370,810x = 794,108 × 794,108
  4. Step 4: Simplify right side
    370,810x = 630,607,515,664
  5. Step 5: Solve for x
    x = 630,607,515,664/370,810
  6. Step 6: Final answer
    x = 1,700,621.65

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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.