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Finding the Third Proportional to 359,692 and 756,392

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Solution

The third proportional to 359,692 and 756,392 is: 1,590,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,692 : 756,392 = 756,392 : x
  2. Step 2: Convert to fraction form
    359,692/756,392 = 756,392/x
  3. Step 3: Cross multiply
    359,692x = 756,392 × 756,392
  4. Step 4: Simplify right side
    359,692x = 572,128,857,664
  5. Step 5: Solve for x
    x = 572,128,857,664/359,692
  6. Step 6: Final answer
    x = 1,590,607.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.