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Finding the Third Proportional to 282,785 and 606,048.50

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Solution

The third proportional to 282,785 and 606,048.50 is: 1,298,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,785 : 606,048.50 = 606,048.50 : x
  2. Step 2: Convert to fraction form
    282,785/606,048.50 = 606,048.50/x
  3. Step 3: Cross multiply
    282,785x = 606,048.50 × 606,048.50
  4. Step 4: Simplify right side
    282,785x = 367,294,784,352.25
  5. Step 5: Solve for x
    x = 367,294,784,352.25/282,785
  6. Step 6: Final answer
    x = 1,298,848.19

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