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Finding the Third Proportional to 366,988 and 773,764

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Solution

The third proportional to 366,988 and 773,764 is: 1,631,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,988 : 773,764 = 773,764 : x
  2. Step 2: Convert to fraction form
    366,988/773,764 = 773,764/x
  3. Step 3: Cross multiply
    366,988x = 773,764 × 773,764
  4. Step 4: Simplify right side
    366,988x = 598,710,727,696
  5. Step 5: Solve for x
    x = 598,710,727,696/366,988
  6. Step 6: Final answer
    x = 1,631,417.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.