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Finding the Third Proportional to 369,072 and 767,593

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Solution

The third proportional to 369,072 and 767,593 is: 1,596,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,072 : 767,593 = 767,593 : x
  2. Step 2: Convert to fraction form
    369,072/767,593 = 767,593/x
  3. Step 3: Cross multiply
    369,072x = 767,593 × 767,593
  4. Step 4: Simplify right side
    369,072x = 589,199,013,649
  5. Step 5: Solve for x
    x = 589,199,013,649/369,072
  6. Step 6: Final answer
    x = 1,596,433.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.