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Finding the Third Proportional to 201,352 and 441,454

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Solution

The third proportional to 201,352 and 441,454 is: 967,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352 : 441,454 = 441,454 : x
  2. Step 2: Convert to fraction form
    201,352/441,454 = 441,454/x
  3. Step 3: Cross multiply
    201,352x = 441,454 × 441,454
  4. Step 4: Simplify right side
    201,352x = 194,881,634,116
  5. Step 5: Solve for x
    x = 194,881,634,116/201,352
  6. Step 6: Final answer
    x = 967,865.40

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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.