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Finding the Third Proportional to 402,410 and 603,664

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Solution

The third proportional to 402,410 and 603,664 is: 905,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410 : 603,664 = 603,664 : x
  2. Step 2: Convert to fraction form
    402,410/603,664 = 603,664/x
  3. Step 3: Cross multiply
    402,410x = 603,664 × 603,664
  4. Step 4: Simplify right side
    402,410x = 364,410,224,896
  5. Step 5: Solve for x
    x = 364,410,224,896/402,410
  6. Step 6: Final answer
    x = 905,569.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.