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Finding the Third Proportional to 450,841.50 and 674,848.50

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Solution

The third proportional to 450,841.50 and 674,848.50 is: 1,010,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,841.50 : 674,848.50 = 674,848.50 : x
  2. Step 2: Convert to fraction form
    450,841.50/674,848.50 = 674,848.50/x
  3. Step 3: Cross multiply
    450,841.50x = 674,848.50 × 674,848.50
  4. Step 4: Simplify right side
    450,841.50x = 455,420,497,952.25
  5. Step 5: Solve for x
    x = 455,420,497,952.25/450,841.50
  6. Step 6: Final answer
    x = 1,010,156.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.