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Finding the Third Proportional to 365,575.50 and 788,952.38

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Solution

The third proportional to 365,575.50 and 788,952.38 is: 1,702,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,575.50 : 788,952.38 = 788,952.38 : x
  2. Step 2: Convert to fraction form
    365,575.50/788,952.38 = 788,952.38/x
  3. Step 3: Cross multiply
    365,575.50x = 788,952.38 × 788,952.38
  4. Step 4: Simplify right side
    365,575.50x = 622,445,850,018.14
  5. Step 5: Solve for x
    x = 622,445,850,018.14/365,575.50
  6. Step 6: Final answer
    x = 1,702,646.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.