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Finding the Third Proportional to 313,896 and 403,044

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Solution

The third proportional to 313,896 and 403,044 is: 517,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,896 : 403,044 = 403,044 : x
  2. Step 2: Convert to fraction form
    313,896/403,044 = 403,044/x
  3. Step 3: Cross multiply
    313,896x = 403,044 × 403,044
  4. Step 4: Simplify right side
    313,896x = 162,444,465,936
  5. Step 5: Solve for x
    x = 162,444,465,936/313,896
  6. Step 6: Final answer
    x = 517,510.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.