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Finding the Third Proportional to 200,275.50 and 428,982

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Solution

The third proportional to 200,275.50 and 428,982 is: 918,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,275.50 : 428,982 = 428,982 : x
  2. Step 2: Convert to fraction form
    200,275.50/428,982 = 428,982/x
  3. Step 3: Cross multiply
    200,275.50x = 428,982 × 428,982
  4. Step 4: Simplify right side
    200,275.50x = 184,025,556,324
  5. Step 5: Solve for x
    x = 184,025,556,324/200,275.50
  6. Step 6: Final answer
    x = 918,862.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.