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Finding the Third Proportional to 510,545 and 784,893

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Solution

The third proportional to 510,545 and 784,893 is: 1,206,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,545 : 784,893 = 784,893 : x
  2. Step 2: Convert to fraction form
    510,545/784,893 = 784,893/x
  3. Step 3: Cross multiply
    510,545x = 784,893 × 784,893
  4. Step 4: Simplify right side
    510,545x = 616,057,021,449
  5. Step 5: Solve for x
    x = 616,057,021,449/510,545
  6. Step 6: Final answer
    x = 1,206,665.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.