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Finding the Third Proportional to 441,496 and 679,466

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Solution

The third proportional to 441,496 and 679,466 is: 1,045,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,496 : 679,466 = 679,466 : x
  2. Step 2: Convert to fraction form
    441,496/679,466 = 679,466/x
  3. Step 3: Cross multiply
    441,496x = 679,466 × 679,466
  4. Step 4: Simplify right side
    441,496x = 461,674,045,156
  5. Step 5: Solve for x
    x = 461,674,045,156/441,496
  6. Step 6: Final answer
    x = 1,045,703.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.