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Finding the Third Proportional to 401,936 and 625,044

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Solution

The third proportional to 401,936 and 625,044 is: 971,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,936 : 625,044 = 625,044 : x
  2. Step 2: Convert to fraction form
    401,936/625,044 = 625,044/x
  3. Step 3: Cross multiply
    401,936x = 625,044 × 625,044
  4. Step 4: Simplify right side
    401,936x = 390,680,001,936
  5. Step 5: Solve for x
    x = 390,680,001,936/401,936
  6. Step 6: Final answer
    x = 971,995.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.