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Finding the Third Proportional to 282,509.25 and 609,831.75

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Solution

The third proportional to 282,509.25 and 609,831.75 is: 1,316,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,509.25 : 609,831.75 = 609,831.75 : x
  2. Step 2: Convert to fraction form
    282,509.25/609,831.75 = 609,831.75/x
  3. Step 3: Cross multiply
    282,509.25x = 609,831.75 × 609,831.75
  4. Step 4: Simplify right side
    282,509.25x = 371,894,763,308.06
  5. Step 5: Solve for x
    x = 371,894,763,308.06/282,509.25
  6. Step 6: Final answer
    x = 1,316,398.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.