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Finding the Third Proportional to 433,998 and 671,935.50

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Solution

The third proportional to 433,998 and 671,935.50 is: 1,040,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,998 : 671,935.50 = 671,935.50 : x
  2. Step 2: Convert to fraction form
    433,998/671,935.50 = 671,935.50/x
  3. Step 3: Cross multiply
    433,998x = 671,935.50 × 671,935.50
  4. Step 4: Simplify right side
    433,998x = 451,497,316,160.25
  5. Step 5: Solve for x
    x = 451,497,316,160.25/433,998
  6. Step 6: Final answer
    x = 1,040,321.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.