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Finding the Third Proportional to 228,045 and 362,934

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Solution

The third proportional to 228,045 and 362,934 is: 577,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045 : 362,934 = 362,934 : x
  2. Step 2: Convert to fraction form
    228,045/362,934 = 362,934/x
  3. Step 3: Cross multiply
    228,045x = 362,934 × 362,934
  4. Step 4: Simplify right side
    228,045x = 131,721,088,356
  5. Step 5: Solve for x
    x = 131,721,088,356/228,045
  6. Step 6: Final answer
    x = 577,610.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.