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Finding the Third Proportional to 290,532 and 622,536

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Solution

The third proportional to 290,532 and 622,536 is: 1,333,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,532 : 622,536 = 622,536 : x
  2. Step 2: Convert to fraction form
    290,532/622,536 = 622,536/x
  3. Step 3: Cross multiply
    290,532x = 622,536 × 622,536
  4. Step 4: Simplify right side
    290,532x = 387,551,071,296
  5. Step 5: Solve for x
    x = 387,551,071,296/290,532
  6. Step 6: Final answer
    x = 1,333,935.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.