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Finding the Third Proportional to 384,742.50 and 574,961.25

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Solution

The third proportional to 384,742.50 and 574,961.25 is: 859,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,742.50 : 574,961.25 = 574,961.25 : x
  2. Step 2: Convert to fraction form
    384,742.50/574,961.25 = 574,961.25/x
  3. Step 3: Cross multiply
    384,742.50x = 574,961.25 × 574,961.25
  4. Step 4: Simplify right side
    384,742.50x = 330,580,439,001.56
  5. Step 5: Solve for x
    x = 330,580,439,001.56/384,742.50
  6. Step 6: Final answer
    x = 859,225.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.