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Finding the Third Proportional to 433,000.69 and 949,654.13

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Solution

The third proportional to 433,000.69 and 949,654.13 is: 2,082,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,000.69 : 949,654.13 = 949,654.13 : x
  2. Step 2: Convert to fraction form
    433,000.69/949,654.13 = 949,654.13/x
  3. Step 3: Cross multiply
    433,000.69x = 949,654.13 × 949,654.13
  4. Step 4: Simplify right side
    433,000.69x = 901,842,957,129.52
  5. Step 5: Solve for x
    x = 901,842,957,129.52/433,000.69
  6. Step 6: Final answer
    x = 2,082,774.89

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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.