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Finding the Third Proportional to 362,465.50 and 784,664

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Solution

The third proportional to 362,465.50 and 784,664 is: 1,698,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,465.50 : 784,664 = 784,664 : x
  2. Step 2: Convert to fraction form
    362,465.50/784,664 = 784,664/x
  3. Step 3: Cross multiply
    362,465.50x = 784,664 × 784,664
  4. Step 4: Simplify right side
    362,465.50x = 615,697,592,896
  5. Step 5: Solve for x
    x = 615,697,592,896/362,465.50
  6. Step 6: Final answer
    x = 1,698,637.78

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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.