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Finding the Third Proportional to 370,942,480 and 545,071,456

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Solution

The third proportional to 370,942,480 and 545,071,456 is: 800,940,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,942,480 : 545,071,456 = 545,071,456 : x
  2. Step 2: Convert to fraction form
    370,942,480/545,071,456 = 545,071,456/x
  3. Step 3: Cross multiply
    370,942,480x = 545,071,456 × 545,071,456
  4. Step 4: Simplify right side
    370,942,480x = 297,102,892,145,959,936
  5. Step 5: Solve for x
    x = 297,102,892,145,959,936/370,942,480
  6. Step 6: Final answer
    x = 800,940,599.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.