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Finding the Third Proportional to 375,334 and 553,071

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Solution

The third proportional to 375,334 and 553,071 is: 814,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,334 : 553,071 = 553,071 : x
  2. Step 2: Convert to fraction form
    375,334/553,071 = 553,071/x
  3. Step 3: Cross multiply
    375,334x = 553,071 × 553,071
  4. Step 4: Simplify right side
    375,334x = 305,887,531,041
  5. Step 5: Solve for x
    x = 305,887,531,041/375,334
  6. Step 6: Final answer
    x = 814,974.21

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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.