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Finding the Third Proportional to 367,043 and 561,537

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Solution

The third proportional to 367,043 and 561,537 is: 859,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,043 : 561,537 = 561,537 : x
  2. Step 2: Convert to fraction form
    367,043/561,537 = 561,537/x
  3. Step 3: Cross multiply
    367,043x = 561,537 × 561,537
  4. Step 4: Simplify right side
    367,043x = 315,323,802,369
  5. Step 5: Solve for x
    x = 315,323,802,369/367,043
  6. Step 6: Final answer
    x = 859,092.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.