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Finding the Third Proportional to 359,854 and 763,988

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Solution

The third proportional to 359,854 and 763,988 is: 1,621,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,854 : 763,988 = 763,988 : x
  2. Step 2: Convert to fraction form
    359,854/763,988 = 763,988/x
  3. Step 3: Cross multiply
    359,854x = 763,988 × 763,988
  4. Step 4: Simplify right side
    359,854x = 583,677,664,144
  5. Step 5: Solve for x
    x = 583,677,664,144/359,854
  6. Step 6: Final answer
    x = 1,621,984.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.