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Finding the Third Proportional to 333,312 and 516,240

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Solution

The third proportional to 333,312 and 516,240 is: 799,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,312 : 516,240 = 516,240 : x
  2. Step 2: Convert to fraction form
    333,312/516,240 = 516,240/x
  3. Step 3: Cross multiply
    333,312x = 516,240 × 516,240
  4. Step 4: Simplify right side
    333,312x = 266,503,737,600
  5. Step 5: Solve for x
    x = 266,503,737,600/333,312
  6. Step 6: Final answer
    x = 799,562.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.