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Finding the Third Proportional to 358,822 and 754,820

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Solution

The third proportional to 358,822 and 754,820 is: 1,587,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,822 : 754,820 = 754,820 : x
  2. Step 2: Convert to fraction form
    358,822/754,820 = 754,820/x
  3. Step 3: Cross multiply
    358,822x = 754,820 × 754,820
  4. Step 4: Simplify right side
    358,822x = 569,753,232,400
  5. Step 5: Solve for x
    x = 569,753,232,400/358,822
  6. Step 6: Final answer
    x = 1,587,843.65

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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.