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Finding the Third Proportional to 262,367,159 and 574,158,535

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Solution

The third proportional to 262,367,159 and 574,158,535 is: 1,256,475,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,367,159 : 574,158,535 = 574,158,535 : x
  2. Step 2: Convert to fraction form
    262,367,159/574,158,535 = 574,158,535/x
  3. Step 3: Cross multiply
    262,367,159x = 574,158,535 × 574,158,535
  4. Step 4: Simplify right side
    262,367,159x = 329,658,023,313,346,240
  5. Step 5: Solve for x
    x = 329,658,023,313,346,240/262,367,159
  6. Step 6: Final answer
    x = 1,256,475,942.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.