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Finding the Third Proportional to 400,306 and 879,343

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Solution

The third proportional to 400,306 and 879,343 is: 1,931,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,306 : 879,343 = 879,343 : x
  2. Step 2: Convert to fraction form
    400,306/879,343 = 879,343/x
  3. Step 3: Cross multiply
    400,306x = 879,343 × 879,343
  4. Step 4: Simplify right side
    400,306x = 773,244,111,649
  5. Step 5: Solve for x
    x = 773,244,111,649/400,306
  6. Step 6: Final answer
    x = 1,931,632.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.