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Finding the Third Proportional to 657,919.13 and 823,564.13

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Solution

The third proportional to 657,919.13 and 823,564.13 is: 1,030,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,919.13 : 823,564.13 = 823,564.13 : x
  2. Step 2: Convert to fraction form
    657,919.13/823,564.13 = 823,564.13/x
  3. Step 3: Cross multiply
    657,919.13x = 823,564.13 × 823,564.13
  4. Step 4: Simplify right side
    657,919.13x = 678,257,867,987.02
  5. Step 5: Solve for x
    x = 678,257,867,987.02/657,919.13
  6. Step 6: Final answer
    x = 1,030,913.74

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.