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Finding the Third Proportional to 232,915.50 and 501,495.05

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Solution

The third proportional to 232,915.50 and 501,495.05 is: 1,079,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,915.50 : 501,495.05 = 501,495.05 : x
  2. Step 2: Convert to fraction form
    232,915.50/501,495.05 = 501,495.05/x
  3. Step 3: Cross multiply
    232,915.50x = 501,495.05 × 501,495.05
  4. Step 4: Simplify right side
    232,915.50x = 251,497,282,040.16
  5. Step 5: Solve for x
    x = 251,497,282,040.16/232,915.50
  6. Step 6: Final answer
    x = 1,079,779.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.