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Finding the Third Proportional to 333,385 and 516,358

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Solution

The third proportional to 333,385 and 516,358 is: 799,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,385 : 516,358 = 516,358 : x
  2. Step 2: Convert to fraction form
    333,385/516,358 = 516,358/x
  3. Step 3: Cross multiply
    333,385x = 516,358 × 516,358
  4. Step 4: Simplify right side
    333,385x = 266,625,584,164
  5. Step 5: Solve for x
    x = 266,625,584,164/333,385
  6. Step 6: Final answer
    x = 799,752.79

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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.