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Finding the Third Proportional to 608,430 and 945,831.75

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Solution

The third proportional to 608,430 and 945,831.75 is: 1,470,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,430 : 945,831.75 = 945,831.75 : x
  2. Step 2: Convert to fraction form
    608,430/945,831.75 = 945,831.75/x
  3. Step 3: Cross multiply
    608,430x = 945,831.75 × 945,831.75
  4. Step 4: Simplify right side
    608,430x = 894,597,699,308.06
  5. Step 5: Solve for x
    x = 894,597,699,308.06/608,430
  6. Step 6: Final answer
    x = 1,470,337.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.