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Finding the Third Proportional to 510,946 and 773,487

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Solution

The third proportional to 510,946 and 773,487 is: 1,170,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,946 : 773,487 = 773,487 : x
  2. Step 2: Convert to fraction form
    510,946/773,487 = 773,487/x
  3. Step 3: Cross multiply
    510,946x = 773,487 × 773,487
  4. Step 4: Simplify right side
    510,946x = 598,282,139,169
  5. Step 5: Solve for x
    x = 598,282,139,169/510,946
  6. Step 6: Final answer
    x = 1,170,930.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.