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Finding the Third Proportional to 443,432 and 972,702.75

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Solution

The third proportional to 443,432 and 972,702.75 is: 2,133,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,432 : 972,702.75 = 972,702.75 : x
  2. Step 2: Convert to fraction form
    443,432/972,702.75 = 972,702.75/x
  3. Step 3: Cross multiply
    443,432x = 972,702.75 × 972,702.75
  4. Step 4: Simplify right side
    443,432x = 946,150,639,857.56
  5. Step 5: Solve for x
    x = 946,150,639,857.56/443,432
  6. Step 6: Final answer
    x = 2,133,699.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.