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Finding the Third Proportional to 553,564.13 and 827,457.19

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Solution

The third proportional to 553,564.13 and 827,457.19 is: 1,236,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,564.13 : 827,457.19 = 827,457.19 : x
  2. Step 2: Convert to fraction form
    553,564.13/827,457.19 = 827,457.19/x
  3. Step 3: Cross multiply
    553,564.13x = 827,457.19 × 827,457.19
  4. Step 4: Simplify right side
    553,564.13x = 684,685,397,145.41
  5. Step 5: Solve for x
    x = 684,685,397,145.41/553,564.13
  6. Step 6: Final answer
    x = 1,236,867.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.