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Finding the Third Proportional to 366,267 and 760,605

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Solution

The third proportional to 366,267 and 760,605 is: 1,579,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,267 : 760,605 = 760,605 : x
  2. Step 2: Convert to fraction form
    366,267/760,605 = 760,605/x
  3. Step 3: Cross multiply
    366,267x = 760,605 × 760,605
  4. Step 4: Simplify right side
    366,267x = 578,519,966,025
  5. Step 5: Solve for x
    x = 578,519,966,025/366,267
  6. Step 6: Final answer
    x = 1,579,503.38

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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.