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Finding the Third Proportional to 333,243 and 516,145.50

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Solution

The third proportional to 333,243 and 516,145.50 is: 799,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,243 : 516,145.50 = 516,145.50 : x
  2. Step 2: Convert to fraction form
    333,243/516,145.50 = 516,145.50/x
  3. Step 3: Cross multiply
    333,243x = 516,145.50 × 516,145.50
  4. Step 4: Simplify right side
    333,243x = 266,406,177,170.25
  5. Step 5: Solve for x
    x = 266,406,177,170.25/333,243
  6. Step 6: Final answer
    x = 799,435.18

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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.