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Finding the Third Proportional to 201,356 and 440,580

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Solution

The third proportional to 201,356 and 440,580 is: 964,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,356 : 440,580 = 440,580 : x
  2. Step 2: Convert to fraction form
    201,356/440,580 = 440,580/x
  3. Step 3: Cross multiply
    201,356x = 440,580 × 440,580
  4. Step 4: Simplify right side
    201,356x = 194,110,736,400
  5. Step 5: Solve for x
    x = 194,110,736,400/201,356
  6. Step 6: Final answer
    x = 964,017.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.