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Finding the Third Proportional to 510,178 and 737,498

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Solution

The third proportional to 510,178 and 737,498 is: 1,066,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,178 : 737,498 = 737,498 : x
  2. Step 2: Convert to fraction form
    510,178/737,498 = 737,498/x
  3. Step 3: Cross multiply
    510,178x = 737,498 × 737,498
  4. Step 4: Simplify right side
    510,178x = 543,903,300,004
  5. Step 5: Solve for x
    x = 543,903,300,004/510,178
  6. Step 6: Final answer
    x = 1,066,104.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.