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Finding the Third Proportional to 249,414,299.25 and 350,784,525

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Solution

The third proportional to 249,414,299.25 and 350,784,525 is: 493,354,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,414,299.25 : 350,784,525 = 350,784,525 : x
  2. Step 2: Convert to fraction form
    249,414,299.25/350,784,525 = 350,784,525/x
  3. Step 3: Cross multiply
    249,414,299.25x = 350,784,525 × 350,784,525
  4. Step 4: Simplify right side
    249,414,299.25x = 123,049,782,979,475,632
  5. Step 5: Solve for x
    x = 123,049,782,979,475,632/249,414,299.25
  6. Step 6: Final answer
    x = 493,354,965.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.