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Finding the Third Proportional to 200,718 and 435,064

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Solution

The third proportional to 200,718 and 435,064 is: 943,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718 : 435,064 = 435,064 : x
  2. Step 2: Convert to fraction form
    200,718/435,064 = 435,064/x
  3. Step 3: Cross multiply
    200,718x = 435,064 × 435,064
  4. Step 4: Simplify right side
    200,718x = 189,280,684,096
  5. Step 5: Solve for x
    x = 189,280,684,096/200,718
  6. Step 6: Final answer
    x = 943,017.99

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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.