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Finding the Third Proportional to 433,513.50 and 690,402

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Solution

The third proportional to 433,513.50 and 690,402 is: 1,099,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,513.50 : 690,402 = 690,402 : x
  2. Step 2: Convert to fraction form
    433,513.50/690,402 = 690,402/x
  3. Step 3: Cross multiply
    433,513.50x = 690,402 × 690,402
  4. Step 4: Simplify right side
    433,513.50x = 476,654,921,604
  5. Step 5: Solve for x
    x = 476,654,921,604/433,513.50
  6. Step 6: Final answer
    x = 1,099,515.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.