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Finding the Third Proportional to 554,981.63 and 830,241.56

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Solution

The third proportional to 554,981.63 and 830,241.56 is: 1,242,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,981.63 : 830,241.56 = 830,241.56 : x
  2. Step 2: Convert to fraction form
    554,981.63/830,241.56 = 830,241.56/x
  3. Step 3: Cross multiply
    554,981.63x = 830,241.56 × 830,241.56
  4. Step 4: Simplify right side
    554,981.63x = 689,301,052,102.44
  5. Step 5: Solve for x
    x = 689,301,052,102.44/554,981.63
  6. Step 6: Final answer
    x = 1,242,025.00

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Why These Related Problems?

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