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Finding the Third Proportional to 504,513.56 and 758,889

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Solution

The third proportional to 504,513.56 and 758,889 is: 1,141,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,513.56 : 758,889 = 758,889 : x
  2. Step 2: Convert to fraction form
    504,513.56/758,889 = 758,889/x
  3. Step 3: Cross multiply
    504,513.56x = 758,889 × 758,889
  4. Step 4: Simplify right side
    504,513.56x = 575,912,514,321
  5. Step 5: Solve for x
    x = 575,912,514,321/504,513.56
  6. Step 6: Final answer
    x = 1,141,520.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.