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Finding the Third Proportional to 616,170 and 824,179.50

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Solution

The third proportional to 616,170 and 824,179.50 is: 1,102,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,170 : 824,179.50 = 824,179.50 : x
  2. Step 2: Convert to fraction form
    616,170/824,179.50 = 824,179.50/x
  3. Step 3: Cross multiply
    616,170x = 824,179.50 × 824,179.50
  4. Step 4: Simplify right side
    616,170x = 679,271,848,220.25
  5. Step 5: Solve for x
    x = 679,271,848,220.25/616,170
  6. Step 6: Final answer
    x = 1,102,409.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.