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Finding the Third Proportional to 554,904 and 830,837.25

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Solution

The third proportional to 554,904 and 830,837.25 is: 1,243,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,904 : 830,837.25 = 830,837.25 : x
  2. Step 2: Convert to fraction form
    554,904/830,837.25 = 830,837.25/x
  3. Step 3: Cross multiply
    554,904x = 830,837.25 × 830,837.25
  4. Step 4: Simplify right side
    554,904x = 690,290,535,987.56
  5. Step 5: Solve for x
    x = 690,290,535,987.56/554,904
  6. Step 6: Final answer
    x = 1,243,981.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.