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Finding the Third Proportional to 730,965 and 1,166,431.50

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Solution

The third proportional to 730,965 and 1,166,431.50 is: 1,861,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,965 : 1,166,431.50 = 1,166,431.50 : x
  2. Step 2: Convert to fraction form
    730,965/1,166,431.50 = 1,166,431.50/x
  3. Step 3: Cross multiply
    730,965x = 1,166,431.50 × 1,166,431.50
  4. Step 4: Simplify right side
    730,965x = 1,360,562,444,192.25
  5. Step 5: Solve for x
    x = 1,360,562,444,192.25/730,965
  6. Step 6: Final answer
    x = 1,861,323.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.