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Finding the Third Proportional to 470,526,084 and 703,923,576.75

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Solution

The third proportional to 470,526,084 and 703,923,576.75 is: 1,053,094,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,526,084 : 703,923,576.75 = 703,923,576.75 : x
  2. Step 2: Convert to fraction form
    470,526,084/703,923,576.75 = 703,923,576.75/x
  3. Step 3: Cross multiply
    470,526,084x = 703,923,576.75 × 703,923,576.75
  4. Step 4: Simplify right side
    470,526,084x = 495,508,401,904,513,152
  5. Step 5: Solve for x
    x = 495,508,401,904,513,152/470,526,084
  6. Step 6: Final answer
    x = 1,053,094,437.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.