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Finding the Third Proportional to 499,179 and 713,831

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Solution

The third proportional to 499,179 and 713,831 is: 1,020,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,179 : 713,831 = 713,831 : x
  2. Step 2: Convert to fraction form
    499,179/713,831 = 713,831/x
  3. Step 3: Cross multiply
    499,179x = 713,831 × 713,831
  4. Step 4: Simplify right side
    499,179x = 509,554,696,561
  5. Step 5: Solve for x
    x = 509,554,696,561/499,179
  6. Step 6: Final answer
    x = 1,020,785.52

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Why These Related Problems?

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