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Finding the Third Proportional to 524,606.63 and 824,149.69

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Solution

The third proportional to 524,606.63 and 824,149.69 is: 1,294,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,606.63 : 824,149.69 = 824,149.69 : x
  2. Step 2: Convert to fraction form
    524,606.63/824,149.69 = 824,149.69/x
  3. Step 3: Cross multiply
    524,606.63x = 824,149.69 × 824,149.69
  4. Step 4: Simplify right side
    524,606.63x = 679,222,707,406.35
  5. Step 5: Solve for x
    x = 679,222,707,406.35/524,606.63
  6. Step 6: Final answer
    x = 1,294,727.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.