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Finding the Third Proportional to 454,869,460.88 and 650,018,998.13

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Solution

The third proportional to 454,869,460.88 and 650,018,998.13 is: 928,892,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,869,460.88 : 650,018,998.13 = 650,018,998.13 : x
  2. Step 2: Convert to fraction form
    454,869,460.88/650,018,998.13 = 650,018,998.13/x
  3. Step 3: Cross multiply
    454,869,460.88x = 650,018,998.13 × 650,018,998.13
  4. Step 4: Simplify right side
    454,869,460.88x = 422,524,697,923,428,736
  5. Step 5: Solve for x
    x = 422,524,697,923,428,736/454,869,460.88
  6. Step 6: Final answer
    x = 928,892,208.13

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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.