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Finding the Third Proportional to 288,693,414 and 417,112,119

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Solution

The third proportional to 288,693,414 and 417,112,119 is: 602,654,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693,414 : 417,112,119 = 417,112,119 : x
  2. Step 2: Convert to fraction form
    288,693,414/417,112,119 = 417,112,119/x
  3. Step 3: Cross multiply
    288,693,414x = 417,112,119 × 417,112,119
  4. Step 4: Simplify right side
    288,693,414x = 173,982,519,816,670,176
  5. Step 5: Solve for x
    x = 173,982,519,816,670,176/288,693,414
  6. Step 6: Final answer
    x = 602,654,966.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.