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Finding the Third Proportional to 702,550.97 and 1,460,323.69

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Solution

The third proportional to 702,550.97 and 1,460,323.69 is: 3,035,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,550.97 : 1,460,323.69 = 1,460,323.69 : x
  2. Step 2: Convert to fraction form
    702,550.97/1,460,323.69 = 1,460,323.69/x
  3. Step 3: Cross multiply
    702,550.97x = 1,460,323.69 × 1,460,323.69
  4. Step 4: Simplify right side
    702,550.97x = 2,132,545,272,273.60
  5. Step 5: Solve for x
    x = 2,132,545,272,273.60/702,550.97
  6. Step 6: Final answer
    x = 3,035,431.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.