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Finding the Third Proportional to 538,706.79 and 803,389.32

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Solution

The third proportional to 538,706.79 and 803,389.32 is: 1,198,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,706.79 : 803,389.32 = 803,389.32 : x
  2. Step 2: Convert to fraction form
    538,706.79/803,389.32 = 803,389.32/x
  3. Step 3: Cross multiply
    538,706.79x = 803,389.32 × 803,389.32
  4. Step 4: Simplify right side
    538,706.79x = 645,434,406,268.68
  5. Step 5: Solve for x
    x = 645,434,406,268.68/538,706.79
  6. Step 6: Final answer
    x = 1,198,118.18

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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.