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Finding the Third Proportional to 282,370.50 and 604,035

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Solution

The third proportional to 282,370.50 and 604,035 is: 1,292,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,370.50 : 604,035 = 604,035 : x
  2. Step 2: Convert to fraction form
    282,370.50/604,035 = 604,035/x
  3. Step 3: Cross multiply
    282,370.50x = 604,035 × 604,035
  4. Step 4: Simplify right side
    282,370.50x = 364,858,281,225
  5. Step 5: Solve for x
    x = 364,858,281,225/282,370.50
  6. Step 6: Final answer
    x = 1,292,126.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.