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Finding the Third Proportional to 320,857,803 and 702,997,371

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Solution

The third proportional to 320,857,803 and 702,997,371 is: 1,540,262,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,857,803 : 702,997,371 = 702,997,371 : x
  2. Step 2: Convert to fraction form
    320,857,803/702,997,371 = 702,997,371/x
  3. Step 3: Cross multiply
    320,857,803x = 702,997,371 × 702,997,371
  4. Step 4: Simplify right side
    320,857,803x = 494,205,303,632,911,616
  5. Step 5: Solve for x
    x = 494,205,303,632,911,616/320,857,803
  6. Step 6: Final answer
    x = 1,540,262,692.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.