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Finding the Third Proportional to 553,177.69 and 854,328.94

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Solution

The third proportional to 553,177.69 and 854,328.94 is: 1,319,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,177.69 : 854,328.94 = 854,328.94 : x
  2. Step 2: Convert to fraction form
    553,177.69/854,328.94 = 854,328.94/x
  3. Step 3: Cross multiply
    553,177.69x = 854,328.94 × 854,328.94
  4. Step 4: Simplify right side
    553,177.69x = 729,877,933,449.88
  5. Step 5: Solve for x
    x = 729,877,933,449.88/553,177.69
  6. Step 6: Final answer
    x = 1,319,427.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.