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Finding the Third Proportional to 282,792.50 and 606,065.50

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Solution

The third proportional to 282,792.50 and 606,065.50 is: 1,298,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,792.50 : 606,065.50 = 606,065.50 : x
  2. Step 2: Convert to fraction form
    282,792.50/606,065.50 = 606,065.50/x
  3. Step 3: Cross multiply
    282,792.50x = 606,065.50 × 606,065.50
  4. Step 4: Simplify right side
    282,792.50x = 367,315,390,290.25
  5. Step 5: Solve for x
    x = 367,315,390,290.25/282,792.50
  6. Step 6: Final answer
    x = 1,298,886.61

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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.