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Finding the Third Proportional to 369,182 and 805,068

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Solution

The third proportional to 369,182 and 805,068 is: 1,755,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,182 : 805,068 = 805,068 : x
  2. Step 2: Convert to fraction form
    369,182/805,068 = 805,068/x
  3. Step 3: Cross multiply
    369,182x = 805,068 × 805,068
  4. Step 4: Simplify right side
    369,182x = 648,134,484,624
  5. Step 5: Solve for x
    x = 648,134,484,624/369,182
  6. Step 6: Final answer
    x = 1,755,596.11

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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.