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Finding the Third Proportional to 333,398 and 500,133

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Solution

The third proportional to 333,398 and 500,133 is: 750,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,398 : 500,133 = 500,133 : x
  2. Step 2: Convert to fraction form
    333,398/500,133 = 500,133/x
  3. Step 3: Cross multiply
    333,398x = 500,133 × 500,133
  4. Step 4: Simplify right side
    333,398x = 250,133,017,689
  5. Step 5: Solve for x
    x = 250,133,017,689/333,398
  6. Step 6: Final answer
    x = 750,253.50

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Why These Related Problems?

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