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Finding the Third Proportional to 405,980.03 and 567,587.37

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Solution

The third proportional to 405,980.03 and 567,587.37 is: 793,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,980.03 : 567,587.37 = 567,587.37 : x
  2. Step 2: Convert to fraction form
    405,980.03/567,587.37 = 567,587.37/x
  3. Step 3: Cross multiply
    405,980.03x = 567,587.37 × 567,587.37
  4. Step 4: Simplify right side
    405,980.03x = 322,155,421,053.70
  5. Step 5: Solve for x
    x = 322,155,421,053.70/405,980.03
  6. Step 6: Final answer
    x = 793,525.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.