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Finding the Third Proportional to 574,663.50 and 1,208,873.25

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Solution

The third proportional to 574,663.50 and 1,208,873.25 is: 2,543,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,663.50 : 1,208,873.25 = 1,208,873.25 : x
  2. Step 2: Convert to fraction form
    574,663.50/1,208,873.25 = 1,208,873.25/x
  3. Step 3: Cross multiply
    574,663.50x = 1,208,873.25 × 1,208,873.25
  4. Step 4: Simplify right side
    574,663.50x = 1,461,374,534,565.56
  5. Step 5: Solve for x
    x = 1,461,374,534,565.56/574,663.50
  6. Step 6: Final answer
    x = 2,543,009.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.