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Finding the Third Proportional to 249,201 and 531,024

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Solution

The third proportional to 249,201 and 531,024 is: 1,131,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,201 : 531,024 = 531,024 : x
  2. Step 2: Convert to fraction form
    249,201/531,024 = 531,024/x
  3. Step 3: Cross multiply
    249,201x = 531,024 × 531,024
  4. Step 4: Simplify right side
    249,201x = 281,986,488,576
  5. Step 5: Solve for x
    x = 281,986,488,576/249,201
  6. Step 6: Final answer
    x = 1,131,562.43

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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.