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Finding the Third Proportional to 478,823,316 and 673,994,908.50

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Solution

The third proportional to 478,823,316 and 673,994,908.50 is: 948,719,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,823,316 : 673,994,908.50 = 673,994,908.50 : x
  2. Step 2: Convert to fraction form
    478,823,316/673,994,908.50 = 673,994,908.50/x
  3. Step 3: Cross multiply
    478,823,316x = 673,994,908.50 × 673,994,908.50
  4. Step 4: Simplify right side
    478,823,316x = 454,269,136,683,923,392
  5. Step 5: Solve for x
    x = 454,269,136,683,923,392/478,823,316
  6. Step 6: Final answer
    x = 948,719,750.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.