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Finding the Third Proportional to 398,141,040 and 569,342,376

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Solution

The third proportional to 398,141,040 and 569,342,376 is: 814,160,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,141,040 : 569,342,376 = 569,342,376 : x
  2. Step 2: Convert to fraction form
    398,141,040/569,342,376 = 569,342,376/x
  3. Step 3: Cross multiply
    398,141,040x = 569,342,376 × 569,342,376
  4. Step 4: Simplify right side
    398,141,040x = 324,150,741,109,325,376
  5. Step 5: Solve for x
    x = 324,150,741,109,325,376/398,141,040
  6. Step 6: Final answer
    x = 814,160,582.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.