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Finding the Third Proportional to 262,047,829.75 and 411,040,136.75

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Solution

The third proportional to 262,047,829.75 and 411,040,136.75 is: 644,744,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,047,829.75 : 411,040,136.75 = 411,040,136.75 : x
  2. Step 2: Convert to fraction form
    262,047,829.75/411,040,136.75 = 411,040,136.75/x
  3. Step 3: Cross multiply
    262,047,829.75x = 411,040,136.75 × 411,040,136.75
  4. Step 4: Simplify right side
    262,047,829.75x = 168,953,994,019,458,688
  5. Step 5: Solve for x
    x = 168,953,994,019,458,688/262,047,829.75
  6. Step 6: Final answer
    x = 644,744,870.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.