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Finding the Third Proportional to 378,624,990.50 and 565,850,674.50

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Solution

The third proportional to 378,624,990.50 and 565,850,674.50 is: 845,657,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,624,990.50 : 565,850,674.50 = 565,850,674.50 : x
  2. Step 2: Convert to fraction form
    378,624,990.50/565,850,674.50 = 565,850,674.50/x
  3. Step 3: Cross multiply
    378,624,990.50x = 565,850,674.50 × 565,850,674.50
  4. Step 4: Simplify right side
    378,624,990.50x = 320,186,985,832,104,960
  5. Step 5: Solve for x
    x = 320,186,985,832,104,960/378,624,990.50
  6. Step 6: Final answer
    x = 845,657,296.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.