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Finding the Third Proportional to 366,278 and 791,771

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Solution

The third proportional to 366,278 and 791,771 is: 1,711,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,278 : 791,771 = 791,771 : x
  2. Step 2: Convert to fraction form
    366,278/791,771 = 791,771/x
  3. Step 3: Cross multiply
    366,278x = 791,771 × 791,771
  4. Step 4: Simplify right side
    366,278x = 626,901,316,441
  5. Step 5: Solve for x
    x = 626,901,316,441/366,278
  6. Step 6: Final answer
    x = 1,711,545.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.