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Finding the Third Proportional to 358,701 and 536,134.50

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Solution

The third proportional to 358,701 and 536,134.50 is: 801,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,701 : 536,134.50 = 536,134.50 : x
  2. Step 2: Convert to fraction form
    358,701/536,134.50 = 536,134.50/x
  3. Step 3: Cross multiply
    358,701x = 536,134.50 × 536,134.50
  4. Step 4: Simplify right side
    358,701x = 287,440,202,090.25
  5. Step 5: Solve for x
    x = 287,440,202,090.25/358,701
  6. Step 6: Final answer
    x = 801,336.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.