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Finding the Third Proportional to 260,707,725 and 566,255,794.50

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Solution

The third proportional to 260,707,725 and 566,255,794.50 is: 1,229,904,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,707,725 : 566,255,794.50 = 566,255,794.50 : x
  2. Step 2: Convert to fraction form
    260,707,725/566,255,794.50 = 566,255,794.50/x
  3. Step 3: Cross multiply
    260,707,725x = 566,255,794.50 × 566,255,794.50
  4. Step 4: Simplify right side
    260,707,725x = 320,645,624,804,826,240
  5. Step 5: Solve for x
    x = 320,645,624,804,826,240/260,707,725
  6. Step 6: Final answer
    x = 1,229,904,579.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.