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Finding the Third Proportional to 244,988 and 524,964

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Solution

The third proportional to 244,988 and 524,964 is: 1,124,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,988 : 524,964 = 524,964 : x
  2. Step 2: Convert to fraction form
    244,988/524,964 = 524,964/x
  3. Step 3: Cross multiply
    244,988x = 524,964 × 524,964
  4. Step 4: Simplify right side
    244,988x = 275,587,201,296
  5. Step 5: Solve for x
    x = 275,587,201,296/244,988
  6. Step 6: Final answer
    x = 1,124,900.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.