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Finding the Third Proportional to 524,935.69 and 787,816.13

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Solution

The third proportional to 524,935.69 and 787,816.13 is: 1,182,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,935.69 : 787,816.13 = 787,816.13 : x
  2. Step 2: Convert to fraction form
    524,935.69/787,816.13 = 787,816.13/x
  3. Step 3: Cross multiply
    524,935.69x = 787,816.13 × 787,816.13
  4. Step 4: Simplify right side
    524,935.69x = 620,654,246,810.02
  5. Step 5: Solve for x
    x = 620,654,246,810.02/524,935.69
  6. Step 6: Final answer
    x = 1,182,343.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.