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Finding the Third Proportional to 430,153.50 and 601,632

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Solution

The third proportional to 430,153.50 and 601,632 is: 841,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,153.50 : 601,632 = 601,632 : x
  2. Step 2: Convert to fraction form
    430,153.50/601,632 = 601,632/x
  3. Step 3: Cross multiply
    430,153.50x = 601,632 × 601,632
  4. Step 4: Simplify right side
    430,153.50x = 361,961,063,424
  5. Step 5: Solve for x
    x = 361,961,063,424/430,153.50
  6. Step 6: Final answer
    x = 841,469.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.