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Finding the Third Proportional to 200,281.50 and 428,994

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Solution

The third proportional to 200,281.50 and 428,994 is: 918,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,281.50 : 428,994 = 428,994 : x
  2. Step 2: Convert to fraction form
    200,281.50/428,994 = 428,994/x
  3. Step 3: Cross multiply
    200,281.50x = 428,994 × 428,994
  4. Step 4: Simplify right side
    200,281.50x = 184,035,852,036
  5. Step 5: Solve for x
    x = 184,035,852,036/200,281.50
  6. Step 6: Final answer
    x = 918,885.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.