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Finding the Third Proportional to 460,192.50 and 706,416.75

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Solution

The third proportional to 460,192.50 and 706,416.75 is: 1,084,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,192.50 : 706,416.75 = 706,416.75 : x
  2. Step 2: Convert to fraction form
    460,192.50/706,416.75 = 706,416.75/x
  3. Step 3: Cross multiply
    460,192.50x = 706,416.75 × 706,416.75
  4. Step 4: Simplify right side
    460,192.50x = 499,024,624,680.56
  5. Step 5: Solve for x
    x = 499,024,624,680.56/460,192.50
  6. Step 6: Final answer
    x = 1,084,382.35

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