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Finding the Third Proportional to 402,328.50 and 603,501

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Solution

The third proportional to 402,328.50 and 603,501 is: 905,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,328.50 : 603,501 = 603,501 : x
  2. Step 2: Convert to fraction form
    402,328.50/603,501 = 603,501/x
  3. Step 3: Cross multiply
    402,328.50x = 603,501 × 603,501
  4. Step 4: Simplify right side
    402,328.50x = 364,213,457,001
  5. Step 5: Solve for x
    x = 364,213,457,001/402,328.50
  6. Step 6: Final answer
    x = 905,263.88

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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.