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Finding the Third Proportional to 363,046.50 and 507,795.75

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Solution

The third proportional to 363,046.50 and 507,795.75 is: 710,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,046.50 : 507,795.75 = 507,795.75 : x
  2. Step 2: Convert to fraction form
    363,046.50/507,795.75 = 507,795.75/x
  3. Step 3: Cross multiply
    363,046.50x = 507,795.75 × 507,795.75
  4. Step 4: Simplify right side
    363,046.50x = 257,856,523,718.06
  5. Step 5: Solve for x
    x = 257,856,523,718.06/363,046.50
  6. Step 6: Final answer
    x = 710,257.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.