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Finding the Third Proportional to 262,032,273 and 560,873,288.25

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Solution

The third proportional to 262,032,273 and 560,873,288.25 is: 1,200,534,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032,273 : 560,873,288.25 = 560,873,288.25 : x
  2. Step 2: Convert to fraction form
    262,032,273/560,873,288.25 = 560,873,288.25/x
  3. Step 3: Cross multiply
    262,032,273x = 560,873,288.25 × 560,873,288.25
  4. Step 4: Simplify right side
    262,032,273x = 314,578,845,472,367,616
  5. Step 5: Solve for x
    x = 314,578,845,472,367,616/262,032,273
  6. Step 6: Final answer
    x = 1,200,534,735.17

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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.