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Finding the Third Proportional to 332,114.50 and 528,716.50

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Solution

The third proportional to 332,114.50 and 528,716.50 is: 841,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,114.50 : 528,716.50 = 528,716.50 : x
  2. Step 2: Convert to fraction form
    332,114.50/528,716.50 = 528,716.50/x
  3. Step 3: Cross multiply
    332,114.50x = 528,716.50 × 528,716.50
  4. Step 4: Simplify right side
    332,114.50x = 279,541,137,372.25
  5. Step 5: Solve for x
    x = 279,541,137,372.25/332,114.50
  6. Step 6: Final answer
    x = 841,701.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.