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Finding the Third Proportional to 249,556 and 383,976

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Solution

The third proportional to 249,556 and 383,976 is: 590,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,556 : 383,976 = 383,976 : x
  2. Step 2: Convert to fraction form
    249,556/383,976 = 383,976/x
  3. Step 3: Cross multiply
    249,556x = 383,976 × 383,976
  4. Step 4: Simplify right side
    249,556x = 147,437,568,576
  5. Step 5: Solve for x
    x = 147,437,568,576/249,556
  6. Step 6: Final answer
    x = 590,799.53

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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.