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Finding the Third Proportional to 341,058 and 535,017

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Solution

The third proportional to 341,058 and 535,017 is: 839,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,058 : 535,017 = 535,017 : x
  2. Step 2: Convert to fraction form
    341,058/535,017 = 535,017/x
  3. Step 3: Cross multiply
    341,058x = 535,017 × 535,017
  4. Step 4: Simplify right side
    341,058x = 286,243,190,289
  5. Step 5: Solve for x
    x = 286,243,190,289/341,058
  6. Step 6: Final answer
    x = 839,280.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.