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Finding the Third Proportional to 201,764 and 455,506

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Solution

The third proportional to 201,764 and 455,506 is: 1,028,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764 : 455,506 = 455,506 : x
  2. Step 2: Convert to fraction form
    201,764/455,506 = 455,506/x
  3. Step 3: Cross multiply
    201,764x = 455,506 × 455,506
  4. Step 4: Simplify right side
    201,764x = 207,485,716,036
  5. Step 5: Solve for x
    x = 207,485,716,036/201,764
  6. Step 6: Final answer
    x = 1,028,358.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.