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Finding the Third Proportional to 441,488 and 683,454

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Solution

The third proportional to 441,488 and 683,454 is: 1,058,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,488 : 683,454 = 683,454 : x
  2. Step 2: Convert to fraction form
    441,488/683,454 = 683,454/x
  3. Step 3: Cross multiply
    441,488x = 683,454 × 683,454
  4. Step 4: Simplify right side
    441,488x = 467,109,370,116
  5. Step 5: Solve for x
    x = 467,109,370,116/441,488
  6. Step 6: Final answer
    x = 1,058,034.13

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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.