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Finding the Third Proportional to 354,332 and 538,056

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Solution

The third proportional to 354,332 and 538,056 is: 817,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,332 : 538,056 = 538,056 : x
  2. Step 2: Convert to fraction form
    354,332/538,056 = 538,056/x
  3. Step 3: Cross multiply
    354,332x = 538,056 × 538,056
  4. Step 4: Simplify right side
    354,332x = 289,504,259,136
  5. Step 5: Solve for x
    x = 289,504,259,136/354,332
  6. Step 6: Final answer
    x = 817,042.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.