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Finding the Third Proportional to 251,461.69 and 538,877.81

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Solution

The third proportional to 251,461.69 and 538,877.81 is: 1,154,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,461.69 : 538,877.81 = 538,877.81 : x
  2. Step 2: Convert to fraction form
    251,461.69/538,877.81 = 538,877.81/x
  3. Step 3: Cross multiply
    251,461.69x = 538,877.81 × 538,877.81
  4. Step 4: Simplify right side
    251,461.69x = 290,389,296,804.79
  5. Step 5: Solve for x
    x = 290,389,296,804.79/251,461.69
  6. Step 6: Final answer
    x = 1,154,805.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.