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Finding the Third Proportional to 387,564 and 822,030

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Solution

The third proportional to 387,564 and 822,030 is: 1,743,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,564 : 822,030 = 822,030 : x
  2. Step 2: Convert to fraction form
    387,564/822,030 = 822,030/x
  3. Step 3: Cross multiply
    387,564x = 822,030 × 822,030
  4. Step 4: Simplify right side
    387,564x = 675,733,320,900
  5. Step 5: Solve for x
    x = 675,733,320,900/387,564
  6. Step 6: Final answer
    x = 1,743,539.96

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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.