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Finding the Third Proportional to 202,423 and 435,986

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Solution

The third proportional to 202,423 and 435,986 is: 939,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423 : 435,986 = 435,986 : x
  2. Step 2: Convert to fraction form
    202,423/435,986 = 435,986/x
  3. Step 3: Cross multiply
    202,423x = 435,986 × 435,986
  4. Step 4: Simplify right side
    202,423x = 190,083,792,196
  5. Step 5: Solve for x
    x = 190,083,792,196/202,423
  6. Step 6: Final answer
    x = 939,042.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.