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Finding the Third Proportional to 433,421.63 and 575,101.13

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Solution

The third proportional to 433,421.63 and 575,101.13 is: 763,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,421.63 : 575,101.13 = 575,101.13 : x
  2. Step 2: Convert to fraction form
    433,421.63/575,101.13 = 575,101.13/x
  3. Step 3: Cross multiply
    433,421.63x = 575,101.13 × 575,101.13
  4. Step 4: Simplify right side
    433,421.63x = 330,741,303,976.27
  5. Step 5: Solve for x
    x = 330,741,303,976.27/433,421.63
  6. Step 6: Final answer
    x = 763,093.68

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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.