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Finding the Third Proportional to 434,253.75 and 956,853.75

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Solution

The third proportional to 434,253.75 and 956,853.75 is: 2,108,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,253.75 : 956,853.75 = 956,853.75 : x
  2. Step 2: Convert to fraction form
    434,253.75/956,853.75 = 956,853.75/x
  3. Step 3: Cross multiply
    434,253.75x = 956,853.75 × 956,853.75
  4. Step 4: Simplify right side
    434,253.75x = 915,569,098,889.06
  5. Step 5: Solve for x
    x = 915,569,098,889.06/434,253.75
  6. Step 6: Final answer
    x = 2,108,373.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.