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Finding the Third Proportional to 254,933 and 404,897.50

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Solution

The third proportional to 254,933 and 404,897.50 is: 643,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,933 : 404,897.50 = 404,897.50 : x
  2. Step 2: Convert to fraction form
    254,933/404,897.50 = 404,897.50/x
  3. Step 3: Cross multiply
    254,933x = 404,897.50 × 404,897.50
  4. Step 4: Simplify right side
    254,933x = 163,941,985,506.25
  5. Step 5: Solve for x
    x = 163,941,985,506.25/254,933
  6. Step 6: Final answer
    x = 643,078.71

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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.