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Finding the Third Proportional to 321,486 and 452,853

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Solution

The third proportional to 321,486 and 452,853 is: 637,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,486 : 452,853 = 452,853 : x
  2. Step 2: Convert to fraction form
    321,486/452,853 = 452,853/x
  3. Step 3: Cross multiply
    321,486x = 452,853 × 452,853
  4. Step 4: Simplify right side
    321,486x = 205,075,839,609
  5. Step 5: Solve for x
    x = 205,075,839,609/321,486
  6. Step 6: Final answer
    x = 637,899.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.