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Finding the Third Proportional to 341,473 and 501,135

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Solution

The third proportional to 341,473 and 501,135 is: 735,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,473 : 501,135 = 501,135 : x
  2. Step 2: Convert to fraction form
    341,473/501,135 = 501,135/x
  3. Step 3: Cross multiply
    341,473x = 501,135 × 501,135
  4. Step 4: Simplify right side
    341,473x = 251,136,288,225
  5. Step 5: Solve for x
    x = 251,136,288,225/341,473
  6. Step 6: Final answer
    x = 735,449.91

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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.