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Finding the Third Proportional to 366,985 and 767,261

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Solution

The third proportional to 366,985 and 767,261 is: 1,604,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,985 : 767,261 = 767,261 : x
  2. Step 2: Convert to fraction form
    366,985/767,261 = 767,261/x
  3. Step 3: Cross multiply
    366,985x = 767,261 × 767,261
  4. Step 4: Simplify right side
    366,985x = 588,689,442,121
  5. Step 5: Solve for x
    x = 588,689,442,121/366,985
  6. Step 6: Final answer
    x = 1,604,123.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.