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Finding the Third Proportional to 423,965.39 and 575,713.83

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Solution

The third proportional to 423,965.39 and 575,713.83 is: 781,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,965.39 : 575,713.83 = 575,713.83 : x
  2. Step 2: Convert to fraction form
    423,965.39/575,713.83 = 575,713.83/x
  3. Step 3: Cross multiply
    423,965.39x = 575,713.83 × 575,713.83
  4. Step 4: Simplify right side
    423,965.39x = 331,446,411,894.34
  5. Step 5: Solve for x
    x = 331,446,411,894.34/423,965.39
  6. Step 6: Final answer
    x = 781,777.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.