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Finding the Third Proportional to 304,948,777 and 471,196,419

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Solution

The third proportional to 304,948,777 and 471,196,419 is: 728,076,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,948,777 : 471,196,419 = 471,196,419 : x
  2. Step 2: Convert to fraction form
    304,948,777/471,196,419 = 471,196,419/x
  3. Step 3: Cross multiply
    304,948,777x = 471,196,419 × 471,196,419
  4. Step 4: Simplify right side
    304,948,777x = 222,026,065,278,423,552
  5. Step 5: Solve for x
    x = 222,026,065,278,423,552/304,948,777
  6. Step 6: Final answer
    x = 728,076,588.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.