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Finding the Third Proportional to 315,484.50 and 458,827.50

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Solution

The third proportional to 315,484.50 and 458,827.50 is: 667,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,484.50 : 458,827.50 = 458,827.50 : x
  2. Step 2: Convert to fraction form
    315,484.50/458,827.50 = 458,827.50/x
  3. Step 3: Cross multiply
    315,484.50x = 458,827.50 × 458,827.50
  4. Step 4: Simplify right side
    315,484.50x = 210,522,674,756.25
  5. Step 5: Solve for x
    x = 210,522,674,756.25/315,484.50
  6. Step 6: Final answer
    x = 667,299.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.