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Finding the Third Proportional to 532,009 and 717,769.50

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Solution

The third proportional to 532,009 and 717,769.50 is: 968,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,009 : 717,769.50 = 717,769.50 : x
  2. Step 2: Convert to fraction form
    532,009/717,769.50 = 717,769.50/x
  3. Step 3: Cross multiply
    532,009x = 717,769.50 × 717,769.50
  4. Step 4: Simplify right side
    532,009x = 515,193,055,130.25
  5. Step 5: Solve for x
    x = 515,193,055,130.25/532,009
  6. Step 6: Final answer
    x = 968,391.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.