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Finding the Third Proportional to 510,158 and 762,570

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Solution

The third proportional to 510,158 and 762,570 is: 1,139,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,158 : 762,570 = 762,570 : x
  2. Step 2: Convert to fraction form
    510,158/762,570 = 762,570/x
  3. Step 3: Cross multiply
    510,158x = 762,570 × 762,570
  4. Step 4: Simplify right side
    510,158x = 581,513,004,900
  5. Step 5: Solve for x
    x = 581,513,004,900/510,158
  6. Step 6: Final answer
    x = 1,139,868.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.