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Finding the Third Proportional to 402,364 and 603,594

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Solution

The third proportional to 402,364 and 603,594 is: 905,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,364 : 603,594 = 603,594 : x
  2. Step 2: Convert to fraction form
    402,364/603,594 = 603,594/x
  3. Step 3: Cross multiply
    402,364x = 603,594 × 603,594
  4. Step 4: Simplify right side
    402,364x = 364,325,716,836
  5. Step 5: Solve for x
    x = 364,325,716,836/402,364
  6. Step 6: Final answer
    x = 905,463.01

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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.