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Finding the Third Proportional to 392,463 and 847,660.50

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Solution

The third proportional to 392,463 and 847,660.50 is: 1,830,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,463 : 847,660.50 = 847,660.50 : x
  2. Step 2: Convert to fraction form
    392,463/847,660.50 = 847,660.50/x
  3. Step 3: Cross multiply
    392,463x = 847,660.50 × 847,660.50
  4. Step 4: Simplify right side
    392,463x = 718,528,323,260.25
  5. Step 5: Solve for x
    x = 718,528,323,260.25/392,463
  6. Step 6: Final answer
    x = 1,830,818.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.