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Finding the Third Proportional to 433,431 and 575,116.88

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Solution

The third proportional to 433,431 and 575,116.88 is: 763,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,431 : 575,116.88 = 575,116.88 : x
  2. Step 2: Convert to fraction form
    433,431/575,116.88 = 575,116.88/x
  3. Step 3: Cross multiply
    433,431x = 575,116.88 × 575,116.88
  4. Step 4: Simplify right side
    433,431x = 330,759,419,909.77
  5. Step 5: Solve for x
    x = 330,759,419,909.77/433,431
  6. Step 6: Final answer
    x = 763,118.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.