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Finding the Third Proportional to 333,870 and 500,709

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Solution

The third proportional to 333,870 and 500,709 is: 750,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,870 : 500,709 = 500,709 : x
  2. Step 2: Convert to fraction form
    333,870/500,709 = 500,709/x
  3. Step 3: Cross multiply
    333,870x = 500,709 × 500,709
  4. Step 4: Simplify right side
    333,870x = 250,709,502,681
  5. Step 5: Solve for x
    x = 250,709,502,681/333,870
  6. Step 6: Final answer
    x = 750,919.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.