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Finding the Third Proportional to 283,598.50 and 439,340.50

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Solution

The third proportional to 283,598.50 and 439,340.50 is: 680,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,598.50 : 439,340.50 = 439,340.50 : x
  2. Step 2: Convert to fraction form
    283,598.50/439,340.50 = 439,340.50/x
  3. Step 3: Cross multiply
    283,598.50x = 439,340.50 × 439,340.50
  4. Step 4: Simplify right side
    283,598.50x = 193,020,074,940.25
  5. Step 5: Solve for x
    x = 193,020,074,940.25/283,598.50
  6. Step 6: Final answer
    x = 680,610.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.