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Finding the Third Proportional to 295,285.50 and 644,699.25

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Solution

The third proportional to 295,285.50 and 644,699.25 is: 1,407,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,285.50 : 644,699.25 = 644,699.25 : x
  2. Step 2: Convert to fraction form
    295,285.50/644,699.25 = 644,699.25/x
  3. Step 3: Cross multiply
    295,285.50x = 644,699.25 × 644,699.25
  4. Step 4: Simplify right side
    295,285.50x = 415,637,122,950.56
  5. Step 5: Solve for x
    x = 415,637,122,950.56/295,285.50
  6. Step 6: Final answer
    x = 1,407,577.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.