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Finding the Third Proportional to 369,437 and 795,865

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Solution

The third proportional to 369,437 and 795,865 is: 1,714,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,437 : 795,865 = 795,865 : x
  2. Step 2: Convert to fraction form
    369,437/795,865 = 795,865/x
  3. Step 3: Cross multiply
    369,437x = 795,865 × 795,865
  4. Step 4: Simplify right side
    369,437x = 633,401,098,225
  5. Step 5: Solve for x
    x = 633,401,098,225/369,437
  6. Step 6: Final answer
    x = 1,714,503.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.