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Finding the Third Proportional to 280,678.50 and 412,390.50

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Solution

The third proportional to 280,678.50 and 412,390.50 is: 605,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,678.50 : 412,390.50 = 412,390.50 : x
  2. Step 2: Convert to fraction form
    280,678.50/412,390.50 = 412,390.50/x
  3. Step 3: Cross multiply
    280,678.50x = 412,390.50 × 412,390.50
  4. Step 4: Simplify right side
    280,678.50x = 170,065,924,490.25
  5. Step 5: Solve for x
    x = 170,065,924,490.25/280,678.50
  6. Step 6: Final answer
    x = 605,910.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.