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Finding the Third Proportional to 524,457.91 and 740,268.70

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Solution

The third proportional to 524,457.91 and 740,268.70 is: 1,044,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,457.91 : 740,268.70 = 740,268.70 : x
  2. Step 2: Convert to fraction form
    524,457.91/740,268.70 = 740,268.70/x
  3. Step 3: Cross multiply
    524,457.91x = 740,268.70 × 740,268.70
  4. Step 4: Simplify right side
    524,457.91x = 547,997,752,826.37
  5. Step 5: Solve for x
    x = 547,997,752,826.37/524,457.91
  6. Step 6: Final answer
    x = 1,044,884.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.