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Finding the Third Proportional to 201,598.50 and 423,879

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Solution

The third proportional to 201,598.50 and 423,879 is: 891,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,598.50 : 423,879 = 423,879 : x
  2. Step 2: Convert to fraction form
    201,598.50/423,879 = 423,879/x
  3. Step 3: Cross multiply
    201,598.50x = 423,879 × 423,879
  4. Step 4: Simplify right side
    201,598.50x = 179,673,406,641
  5. Step 5: Solve for x
    x = 179,673,406,641/201,598.50
  6. Step 6: Final answer
    x = 891,243.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.