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Finding the Third Proportional to 318,451.50 and 497,056.50

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Solution

The third proportional to 318,451.50 and 497,056.50 is: 775,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,451.50 : 497,056.50 = 497,056.50 : x
  2. Step 2: Convert to fraction form
    318,451.50/497,056.50 = 497,056.50/x
  3. Step 3: Cross multiply
    318,451.50x = 497,056.50 × 497,056.50
  4. Step 4: Simplify right side
    318,451.50x = 247,065,164,192.25
  5. Step 5: Solve for x
    x = 247,065,164,192.25/318,451.50
  6. Step 6: Final answer
    x = 775,832.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.