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Finding the Third Proportional to 249,459 and 384,030

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Solution

The third proportional to 249,459 and 384,030 is: 591,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,459 : 384,030 = 384,030 : x
  2. Step 2: Convert to fraction form
    249,459/384,030 = 384,030/x
  3. Step 3: Cross multiply
    249,459x = 384,030 × 384,030
  4. Step 4: Simplify right side
    249,459x = 147,479,040,900
  5. Step 5: Solve for x
    x = 147,479,040,900/249,459
  6. Step 6: Final answer
    x = 591,195.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.