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Finding the Third Proportional to 460,129.50 and 706,322.25

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Solution

The third proportional to 460,129.50 and 706,322.25 is: 1,084,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,129.50 : 706,322.25 = 706,322.25 : x
  2. Step 2: Convert to fraction form
    460,129.50/706,322.25 = 706,322.25/x
  3. Step 3: Cross multiply
    460,129.50x = 706,322.25 × 706,322.25
  4. Step 4: Simplify right side
    460,129.50x = 498,891,120,845.06
  5. Step 5: Solve for x
    x = 498,891,120,845.06/460,129.50
  6. Step 6: Final answer
    x = 1,084,240.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.