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Finding the Third Proportional to 304,948,773 and 471,196,413

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Solution

The third proportional to 304,948,773 and 471,196,413 is: 728,076,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,948,773 : 471,196,413 = 471,196,413 : x
  2. Step 2: Convert to fraction form
    304,948,773/471,196,413 = 471,196,413/x
  3. Step 3: Cross multiply
    304,948,773x = 471,196,413 × 471,196,413
  4. Step 4: Simplify right side
    304,948,773x = 222,026,059,624,066,560
  5. Step 5: Solve for x
    x = 222,026,059,624,066,560/304,948,773
  6. Step 6: Final answer
    x = 728,076,579.68

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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.