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Finding the Third Proportional to 292,860.56 and 593,869.22

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Solution

The third proportional to 292,860.56 and 593,869.22 is: 1,204,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,860.56 : 593,869.22 = 593,869.22 : x
  2. Step 2: Convert to fraction form
    292,860.56/593,869.22 = 593,869.22/x
  3. Step 3: Cross multiply
    292,860.56x = 593,869.22 × 593,869.22
  4. Step 4: Simplify right side
    292,860.56x = 352,680,648,978.74
  5. Step 5: Solve for x
    x = 352,680,648,978.74/292,860.56
  6. Step 6: Final answer
    x = 1,204,261.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.