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Finding the Third Proportional to 408,303 and 600,789

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Solution

The third proportional to 408,303 and 600,789 is: 884,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,303 : 600,789 = 600,789 : x
  2. Step 2: Convert to fraction form
    408,303/600,789 = 600,789/x
  3. Step 3: Cross multiply
    408,303x = 600,789 × 600,789
  4. Step 4: Simplify right side
    408,303x = 360,947,422,521
  5. Step 5: Solve for x
    x = 360,947,422,521/408,303
  6. Step 6: Final answer
    x = 884,018.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.