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Finding the Third Proportional to 358,170 and 559,044

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Solution

The third proportional to 358,170 and 559,044 is: 872,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,170 : 559,044 = 559,044 : x
  2. Step 2: Convert to fraction form
    358,170/559,044 = 559,044/x
  3. Step 3: Cross multiply
    358,170x = 559,044 × 559,044
  4. Step 4: Simplify right side
    358,170x = 312,530,193,936
  5. Step 5: Solve for x
    x = 312,530,193,936/358,170
  6. Step 6: Final answer
    x = 872,575.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.