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Finding the Third Proportional to 460,690.88 and 697,480.03

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Solution

The third proportional to 460,690.88 and 697,480.03 is: 1,055,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,690.88 : 697,480.03 = 697,480.03 : x
  2. Step 2: Convert to fraction form
    460,690.88/697,480.03 = 697,480.03/x
  3. Step 3: Cross multiply
    460,690.88x = 697,480.03 × 697,480.03
  4. Step 4: Simplify right side
    460,690.88x = 486,478,393,992.50
  5. Step 5: Solve for x
    x = 486,478,393,992.50/460,690.88
  6. Step 6: Final answer
    x = 1,055,975.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.