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Finding the Third Proportional to 332,575.50 and 507,166.50

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Solution

The third proportional to 332,575.50 and 507,166.50 is: 773,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,575.50 : 507,166.50 = 507,166.50 : x
  2. Step 2: Convert to fraction form
    332,575.50/507,166.50 = 507,166.50/x
  3. Step 3: Cross multiply
    332,575.50x = 507,166.50 × 507,166.50
  4. Step 4: Simplify right side
    332,575.50x = 257,217,858,722.25
  5. Step 5: Solve for x
    x = 257,217,858,722.25/332,575.50
  6. Step 6: Final answer
    x = 773,411.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.