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Finding the Third Proportional to 375,309 and 553,041

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Solution

The third proportional to 375,309 and 553,041 is: 814,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,309 : 553,041 = 553,041 : x
  2. Step 2: Convert to fraction form
    375,309/553,041 = 553,041/x
  3. Step 3: Cross multiply
    375,309x = 553,041 × 553,041
  4. Step 4: Simplify right side
    375,309x = 305,854,347,681
  5. Step 5: Solve for x
    x = 305,854,347,681/375,309
  6. Step 6: Final answer
    x = 814,940.08

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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.