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Finding the Third Proportional to 313,644.75 and 499,069.50

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Solution

The third proportional to 313,644.75 and 499,069.50 is: 794,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,644.75 : 499,069.50 = 499,069.50 : x
  2. Step 2: Convert to fraction form
    313,644.75/499,069.50 = 499,069.50/x
  3. Step 3: Cross multiply
    313,644.75x = 499,069.50 × 499,069.50
  4. Step 4: Simplify right side
    313,644.75x = 249,070,365,830.25
  5. Step 5: Solve for x
    x = 249,070,365,830.25/313,644.75
  6. Step 6: Final answer
    x = 794,116.16

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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.