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Finding the Third Proportional to 361,083 and 559,121

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Solution

The third proportional to 361,083 and 559,121 is: 865,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,083 : 559,121 = 559,121 : x
  2. Step 2: Convert to fraction form
    361,083/559,121 = 559,121/x
  3. Step 3: Cross multiply
    361,083x = 559,121 × 559,121
  4. Step 4: Simplify right side
    361,083x = 312,616,292,641
  5. Step 5: Solve for x
    x = 312,616,292,641/361,083
  6. Step 6: Final answer
    x = 865,774.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.