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Finding the Third Proportional to 505,000.50 and 1,105,023

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Solution

The third proportional to 505,000.50 and 1,105,023 is: 2,417,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,000.50 : 1,105,023 = 1,105,023 : x
  2. Step 2: Convert to fraction form
    505,000.50/1,105,023 = 1,105,023/x
  3. Step 3: Cross multiply
    505,000.50x = 1,105,023 × 1,105,023
  4. Step 4: Simplify right side
    505,000.50x = 1,221,075,830,529
  5. Step 5: Solve for x
    x = 1,221,075,830,529/505,000.50
  6. Step 6: Final answer
    x = 2,417,969.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.