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Finding the Third Proportional to 404,738 and 584,730

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Solution

The third proportional to 404,738 and 584,730 is: 844,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,738 : 584,730 = 584,730 : x
  2. Step 2: Convert to fraction form
    404,738/584,730 = 584,730/x
  3. Step 3: Cross multiply
    404,738x = 584,730 × 584,730
  4. Step 4: Simplify right side
    404,738x = 341,909,172,900
  5. Step 5: Solve for x
    x = 341,909,172,900/404,738
  6. Step 6: Final answer
    x = 844,766.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.