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Finding the Third Proportional to 312,097 and 496,657.50

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Solution

The third proportional to 312,097 and 496,657.50 is: 790,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097 : 496,657.50 = 496,657.50 : x
  2. Step 2: Convert to fraction form
    312,097/496,657.50 = 496,657.50/x
  3. Step 3: Cross multiply
    312,097x = 496,657.50 × 496,657.50
  4. Step 4: Simplify right side
    312,097x = 246,668,672,306.25
  5. Step 5: Solve for x
    x = 246,668,672,306.25/312,097
  6. Step 6: Final answer
    x = 790,359.00

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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.