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Finding the Third Proportional to 291,283 and 452,063

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Solution

The third proportional to 291,283 and 452,063 is: 701,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,283 : 452,063 = 452,063 : x
  2. Step 2: Convert to fraction form
    291,283/452,063 = 452,063/x
  3. Step 3: Cross multiply
    291,283x = 452,063 × 452,063
  4. Step 4: Simplify right side
    291,283x = 204,360,955,969
  5. Step 5: Solve for x
    x = 204,360,955,969/291,283
  6. Step 6: Final answer
    x = 701,589.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.