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Finding the Third Proportional to 200,442 and 435,084

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Solution

The third proportional to 200,442 and 435,084 is: 944,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,442 : 435,084 = 435,084 : x
  2. Step 2: Convert to fraction form
    200,442/435,084 = 435,084/x
  3. Step 3: Cross multiply
    200,442x = 435,084 × 435,084
  4. Step 4: Simplify right side
    200,442x = 189,298,087,056
  5. Step 5: Solve for x
    x = 189,298,087,056/200,442
  6. Step 6: Final answer
    x = 944,403.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.