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Finding the Third Proportional to 274,317,264 and 586,813,824

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Solution

The third proportional to 274,317,264 and 586,813,824 is: 1,255,300,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,317,264 : 586,813,824 = 586,813,824 : x
  2. Step 2: Convert to fraction form
    274,317,264/586,813,824 = 586,813,824/x
  3. Step 3: Cross multiply
    274,317,264x = 586,813,824 × 586,813,824
  4. Step 4: Simplify right side
    274,317,264x = 344,350,464,037,502,976
  5. Step 5: Solve for x
    x = 344,350,464,037,502,976/274,317,264
  6. Step 6: Final answer
    x = 1,255,300,009.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.