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Finding the Third Proportional to 354,208,766 and 555,598,690.50

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Solution

The third proportional to 354,208,766 and 555,598,690.50 is: 871,491,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,208,766 : 555,598,690.50 = 555,598,690.50 : x
  2. Step 2: Convert to fraction form
    354,208,766/555,598,690.50 = 555,598,690.50/x
  3. Step 3: Cross multiply
    354,208,766x = 555,598,690.50 × 555,598,690.50
  4. Step 4: Simplify right side
    354,208,766x = 308,689,904,885,314,816
  5. Step 5: Solve for x
    x = 308,689,904,885,314,816/354,208,766
  6. Step 6: Final answer
    x = 871,491,432.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.