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Finding the Third Proportional to 201,360 and 441,470

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Solution

The third proportional to 201,360 and 441,470 is: 967,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,360 : 441,470 = 441,470 : x
  2. Step 2: Convert to fraction form
    201,360/441,470 = 441,470/x
  3. Step 3: Cross multiply
    201,360x = 441,470 × 441,470
  4. Step 4: Simplify right side
    201,360x = 194,895,760,900
  5. Step 5: Solve for x
    x = 194,895,760,900/201,360
  6. Step 6: Final answer
    x = 967,897.10

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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.