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Finding the Third Proportional to 341,492 and 501,168

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Solution

The third proportional to 341,492 and 501,168 is: 735,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,492 : 501,168 = 501,168 : x
  2. Step 2: Convert to fraction form
    341,492/501,168 = 501,168/x
  3. Step 3: Cross multiply
    341,492x = 501,168 × 501,168
  4. Step 4: Simplify right side
    341,492x = 251,169,364,224
  5. Step 5: Solve for x
    x = 251,169,364,224/341,492
  6. Step 6: Final answer
    x = 735,505.85

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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.