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Finding the Third Proportional to 404,768 and 871,831.50

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Solution

The third proportional to 404,768 and 871,831.50 is: 1,877,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,768 : 871,831.50 = 871,831.50 : x
  2. Step 2: Convert to fraction form
    404,768/871,831.50 = 871,831.50/x
  3. Step 3: Cross multiply
    404,768x = 871,831.50 × 871,831.50
  4. Step 4: Simplify right side
    404,768x = 760,090,164,392.25
  5. Step 5: Solve for x
    x = 760,090,164,392.25/404,768
  6. Step 6: Final answer
    x = 1,877,841.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.