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Finding the Third Proportional to 369,532 and 595,134

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Solution

The third proportional to 369,532 and 595,134 is: 958,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,532 : 595,134 = 595,134 : x
  2. Step 2: Convert to fraction form
    369,532/595,134 = 595,134/x
  3. Step 3: Cross multiply
    369,532x = 595,134 × 595,134
  4. Step 4: Simplify right side
    369,532x = 354,184,477,956
  5. Step 5: Solve for x
    x = 354,184,477,956/369,532
  6. Step 6: Final answer
    x = 958,467.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.