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Finding the Third Proportional to 314,575.50 and 500,367

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Solution

The third proportional to 314,575.50 and 500,367 is: 795,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,575.50 : 500,367 = 500,367 : x
  2. Step 2: Convert to fraction form
    314,575.50/500,367 = 500,367/x
  3. Step 3: Cross multiply
    314,575.50x = 500,367 × 500,367
  4. Step 4: Simplify right side
    314,575.50x = 250,367,134,689
  5. Step 5: Solve for x
    x = 250,367,134,689/314,575.50
  6. Step 6: Final answer
    x = 795,888.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.