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Finding the Third Proportional to 282,699 and 437,172.75

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Solution

The third proportional to 282,699 and 437,172.75 is: 676,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,699 : 437,172.75 = 437,172.75 : x
  2. Step 2: Convert to fraction form
    282,699/437,172.75 = 437,172.75/x
  3. Step 3: Cross multiply
    282,699x = 437,172.75 × 437,172.75
  4. Step 4: Simplify right side
    282,699x = 191,120,013,342.56
  5. Step 5: Solve for x
    x = 191,120,013,342.56/282,699
  6. Step 6: Final answer
    x = 676,054.79

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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.