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Finding the Third Proportional to 341,600 and 545,712

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Solution

The third proportional to 341,600 and 545,712 is: 871,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,600 : 545,712 = 545,712 : x
  2. Step 2: Convert to fraction form
    341,600/545,712 = 545,712/x
  3. Step 3: Cross multiply
    341,600x = 545,712 × 545,712
  4. Step 4: Simplify right side
    341,600x = 297,801,586,944
  5. Step 5: Solve for x
    x = 297,801,586,944/341,600
  6. Step 6: Final answer
    x = 871,784.51

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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.