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Finding the Third Proportional to 499,176.74 and 713,828.64

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Solution

The third proportional to 499,176.74 and 713,828.64 is: 1,020,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,176.74 : 713,828.64 = 713,828.64 : x
  2. Step 2: Convert to fraction form
    499,176.74/713,828.64 = 713,828.64/x
  3. Step 3: Cross multiply
    499,176.74x = 713,828.64 × 713,828.64
  4. Step 4: Simplify right side
    499,176.74x = 509,551,322,599.75
  5. Step 5: Solve for x
    x = 509,551,322,599.75/499,176.74
  6. Step 6: Final answer
    x = 1,020,783.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.