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Finding the Third Proportional to 282,015 and 577,785

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Solution

The third proportional to 282,015 and 577,785 is: 1,183,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,015 : 577,785 = 577,785 : x
  2. Step 2: Convert to fraction form
    282,015/577,785 = 577,785/x
  3. Step 3: Cross multiply
    282,015x = 577,785 × 577,785
  4. Step 4: Simplify right side
    282,015x = 333,835,506,225
  5. Step 5: Solve for x
    x = 333,835,506,225/282,015
  6. Step 6: Final answer
    x = 1,183,750.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.