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Finding the Third Proportional to 341,580 and 545,682

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Solution

The third proportional to 341,580 and 545,682 is: 871,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,580 : 545,682 = 545,682 : x
  2. Step 2: Convert to fraction form
    341,580/545,682 = 545,682/x
  3. Step 3: Cross multiply
    341,580x = 545,682 × 545,682
  4. Step 4: Simplify right side
    341,580x = 297,768,845,124
  5. Step 5: Solve for x
    x = 297,768,845,124/341,580
  6. Step 6: Final answer
    x = 871,739.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.