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Finding the Third Proportional to 249,360 and 534,450

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Solution

The third proportional to 249,360 and 534,450 is: 1,145,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,360 : 534,450 = 534,450 : x
  2. Step 2: Convert to fraction form
    249,360/534,450 = 534,450/x
  3. Step 3: Cross multiply
    249,360x = 534,450 × 534,450
  4. Step 4: Simplify right side
    249,360x = 285,636,802,500
  5. Step 5: Solve for x
    x = 285,636,802,500/249,360
  6. Step 6: Final answer
    x = 1,145,479.64

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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.