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Finding the Third Proportional to 256,690,554 and 560,419,116

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Solution

The third proportional to 256,690,554 and 560,419,116 is: 1,223,533,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,690,554 : 560,419,116 = 560,419,116 : x
  2. Step 2: Convert to fraction form
    256,690,554/560,419,116 = 560,419,116/x
  3. Step 3: Cross multiply
    256,690,554x = 560,419,116 × 560,419,116
  4. Step 4: Simplify right side
    256,690,554x = 314,069,585,578,221,440
  5. Step 5: Solve for x
    x = 314,069,585,578,221,440/256,690,554
  6. Step 6: Final answer
    x = 1,223,533,864.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.