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Finding the Third Proportional to 387,668 and 822,303

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Solution

The third proportional to 387,668 and 822,303 is: 1,744,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,668 : 822,303 = 822,303 : x
  2. Step 2: Convert to fraction form
    387,668/822,303 = 822,303/x
  3. Step 3: Cross multiply
    387,668x = 822,303 × 822,303
  4. Step 4: Simplify right side
    387,668x = 676,182,223,809
  5. Step 5: Solve for x
    x = 676,182,223,809/387,668
  6. Step 6: Final answer
    x = 1,744,230.18

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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.