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Finding the Third Proportional to 356,332 and 522,832

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Solution

The third proportional to 356,332 and 522,832 is: 767,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,332 : 522,832 = 522,832 : x
  2. Step 2: Convert to fraction form
    356,332/522,832 = 522,832/x
  3. Step 3: Cross multiply
    356,332x = 522,832 × 522,832
  4. Step 4: Simplify right side
    356,332x = 273,353,300,224
  5. Step 5: Solve for x
    x = 273,353,300,224/356,332
  6. Step 6: Final answer
    x = 767,130.93

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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.