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Finding the Third Proportional to 443,945.81 and 958,828.64

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Solution

The third proportional to 443,945.81 and 958,828.64 is: 2,070,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,945.81 : 958,828.64 = 958,828.64 : x
  2. Step 2: Convert to fraction form
    443,945.81/958,828.64 = 958,828.64/x
  3. Step 3: Cross multiply
    443,945.81x = 958,828.64 × 958,828.64
  4. Step 4: Simplify right side
    443,945.81x = 919,352,362,082.79
  5. Step 5: Solve for x
    x = 919,352,362,082.79/443,945.81
  6. Step 6: Final answer
    x = 2,070,866.16

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Why These Related Problems?

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