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Finding the Third Proportional to 524,574 and 1,143,994.50

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Solution

The third proportional to 524,574 and 1,143,994.50 is: 2,494,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,574 : 1,143,994.50 = 1,143,994.50 : x
  2. Step 2: Convert to fraction form
    524,574/1,143,994.50 = 1,143,994.50/x
  3. Step 3: Cross multiply
    524,574x = 1,143,994.50 × 1,143,994.50
  4. Step 4: Simplify right side
    524,574x = 1,308,723,416,030.25
  5. Step 5: Solve for x
    x = 1,308,723,416,030.25/524,574
  6. Step 6: Final answer
    x = 2,494,830.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.