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Finding the Third Proportional to 429,054 and 582,703.50

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Solution

The third proportional to 429,054 and 582,703.50 is: 791,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,054 : 582,703.50 = 582,703.50 : x
  2. Step 2: Convert to fraction form
    429,054/582,703.50 = 582,703.50/x
  3. Step 3: Cross multiply
    429,054x = 582,703.50 × 582,703.50
  4. Step 4: Simplify right side
    429,054x = 339,543,368,912.25
  5. Step 5: Solve for x
    x = 339,543,368,912.25/429,054
  6. Step 6: Final answer
    x = 791,376.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.