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Finding the Third Proportional to 241,582.50 and 524,674.13

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Solution

The third proportional to 241,582.50 and 524,674.13 is: 1,139,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,582.50 : 524,674.13 = 524,674.13 : x
  2. Step 2: Convert to fraction form
    241,582.50/524,674.13 = 524,674.13/x
  3. Step 3: Cross multiply
    241,582.50x = 524,674.13 × 524,674.13
  4. Step 4: Simplify right side
    241,582.50x = 275,282,937,444.52
  5. Step 5: Solve for x
    x = 275,282,937,444.52/241,582.50
  6. Step 6: Final answer
    x = 1,139,498.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.