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Finding the Third Proportional to 413,438 and 603,754

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Solution

The third proportional to 413,438 and 603,754 is: 881,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,438 : 603,754 = 603,754 : x
  2. Step 2: Convert to fraction form
    413,438/603,754 = 603,754/x
  3. Step 3: Cross multiply
    413,438x = 603,754 × 603,754
  4. Step 4: Simplify right side
    413,438x = 364,518,892,516
  5. Step 5: Solve for x
    x = 364,518,892,516/413,438
  6. Step 6: Final answer
    x = 881,677.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.