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Finding the Third Proportional to 359,768 and 789,520

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Solution

The third proportional to 359,768 and 789,520 is: 1,732,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,768 : 789,520 = 789,520 : x
  2. Step 2: Convert to fraction form
    359,768/789,520 = 789,520/x
  3. Step 3: Cross multiply
    359,768x = 789,520 × 789,520
  4. Step 4: Simplify right side
    359,768x = 623,341,830,400
  5. Step 5: Solve for x
    x = 623,341,830,400/359,768
  6. Step 6: Final answer
    x = 1,732,621.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.