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Finding the Third Proportional to 248,509.13 and 536,674.50

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Solution

The third proportional to 248,509.13 and 536,674.50 is: 1,158,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,509.13 : 536,674.50 = 536,674.50 : x
  2. Step 2: Convert to fraction form
    248,509.13/536,674.50 = 536,674.50/x
  3. Step 3: Cross multiply
    248,509.13x = 536,674.50 × 536,674.50
  4. Step 4: Simplify right side
    248,509.13x = 288,019,518,950.25
  5. Step 5: Solve for x
    x = 288,019,518,950.25/248,509.13
  6. Step 6: Final answer
    x = 1,158,989.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.