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Finding the Third Proportional to 415,072 and 608,836

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Solution

The third proportional to 415,072 and 608,836 is: 893,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,072 : 608,836 = 608,836 : x
  2. Step 2: Convert to fraction form
    415,072/608,836 = 608,836/x
  3. Step 3: Cross multiply
    415,072x = 608,836 × 608,836
  4. Step 4: Simplify right side
    415,072x = 370,681,274,896
  5. Step 5: Solve for x
    x = 370,681,274,896/415,072
  6. Step 6: Final answer
    x = 893,052.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.