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Finding the Third Proportional to 404,778 and 603,883

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Solution

The third proportional to 404,778 and 603,883 is: 900,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,778 : 603,883 = 603,883 : x
  2. Step 2: Convert to fraction form
    404,778/603,883 = 603,883/x
  3. Step 3: Cross multiply
    404,778x = 603,883 × 603,883
  4. Step 4: Simplify right side
    404,778x = 364,674,677,689
  5. Step 5: Solve for x
    x = 364,674,677,689/404,778
  6. Step 6: Final answer
    x = 900,925.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.