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Finding the Third Proportional to 332,569.75 and 507,157.88

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Solution

The third proportional to 332,569.75 and 507,157.88 is: 773,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,569.75 : 507,157.88 = 507,157.88 : x
  2. Step 2: Convert to fraction form
    332,569.75/507,157.88 = 507,157.88/x
  3. Step 3: Cross multiply
    332,569.75x = 507,157.88 × 507,157.88
  4. Step 4: Simplify right side
    332,569.75x = 257,209,110,174.52
  5. Step 5: Solve for x
    x = 257,209,110,174.52/332,569.75
  6. Step 6: Final answer
    x = 773,398.99

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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.