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Finding the Third Proportional to 259,982,784 and 560,916,414

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Solution

The third proportional to 259,982,784 and 560,916,414 is: 1,210,184,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,982,784 : 560,916,414 = 560,916,414 : x
  2. Step 2: Convert to fraction form
    259,982,784/560,916,414 = 560,916,414/x
  3. Step 3: Cross multiply
    259,982,784x = 560,916,414 × 560,916,414
  4. Step 4: Simplify right side
    259,982,784x = 314,627,223,494,619,392
  5. Step 5: Solve for x
    x = 314,627,223,494,619,392/259,982,784
  6. Step 6: Final answer
    x = 1,210,184,838.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.