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Finding the Third Proportional to 570,742.50 and 854,331

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Solution

The third proportional to 570,742.50 and 854,331 is: 1,278,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,742.50 : 854,331 = 854,331 : x
  2. Step 2: Convert to fraction form
    570,742.50/854,331 = 854,331/x
  3. Step 3: Cross multiply
    570,742.50x = 854,331 × 854,331
  4. Step 4: Simplify right side
    570,742.50x = 729,881,457,561
  5. Step 5: Solve for x
    x = 729,881,457,561/570,742.50
  6. Step 6: Final answer
    x = 1,278,827.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.