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Finding the Third Proportional to 393,435 and 590,536.50

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Solution

The third proportional to 393,435 and 590,536.50 is: 886,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,435 : 590,536.50 = 590,536.50 : x
  2. Step 2: Convert to fraction form
    393,435/590,536.50 = 590,536.50/x
  3. Step 3: Cross multiply
    393,435x = 590,536.50 × 590,536.50
  4. Step 4: Simplify right side
    393,435x = 348,733,357,832.25
  5. Step 5: Solve for x
    x = 348,733,357,832.25/393,435
  6. Step 6: Final answer
    x = 886,381.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.