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Finding the Third Proportional to 503,784.56 and 755,365.50

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Solution

The third proportional to 503,784.56 and 755,365.50 is: 1,132,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,784.56 : 755,365.50 = 755,365.50 : x
  2. Step 2: Convert to fraction form
    503,784.56/755,365.50 = 755,365.50/x
  3. Step 3: Cross multiply
    503,784.56x = 755,365.50 × 755,365.50
  4. Step 4: Simplify right side
    503,784.56x = 570,577,038,590.25
  5. Step 5: Solve for x
    x = 570,577,038,590.25/503,784.56
  6. Step 6: Final answer
    x = 1,132,581.43

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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.