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Finding the Third Proportional to 249,186 and 530,997

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Solution

The third proportional to 249,186 and 530,997 is: 1,131,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,186 : 530,997 = 530,997 : x
  2. Step 2: Convert to fraction form
    249,186/530,997 = 530,997/x
  3. Step 3: Cross multiply
    249,186x = 530,997 × 530,997
  4. Step 4: Simplify right side
    249,186x = 281,957,814,009
  5. Step 5: Solve for x
    x = 281,957,814,009/249,186
  6. Step 6: Final answer
    x = 1,131,515.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.