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Finding the Third Proportional to 366,969 and 607,342

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Solution

The third proportional to 366,969 and 607,342 is: 1,005,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,969 : 607,342 = 607,342 : x
  2. Step 2: Convert to fraction form
    366,969/607,342 = 607,342/x
  3. Step 3: Cross multiply
    366,969x = 607,342 × 607,342
  4. Step 4: Simplify right side
    366,969x = 368,864,304,964
  5. Step 5: Solve for x
    x = 368,864,304,964/366,969
  6. Step 6: Final answer
    x = 1,005,164.75

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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.