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Finding the Third Proportional to 366,972 and 607,347

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Solution

The third proportional to 366,972 and 607,347 is: 1,005,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,972 : 607,347 = 607,347 : x
  2. Step 2: Convert to fraction form
    366,972/607,347 = 607,347/x
  3. Step 3: Cross multiply
    366,972x = 607,347 × 607,347
  4. Step 4: Simplify right side
    366,972x = 368,870,378,409
  5. Step 5: Solve for x
    x = 368,870,378,409/366,972
  6. Step 6: Final answer
    x = 1,005,173.09

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.