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Finding the Third Proportional to 355,096 and 499,453

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Solution

The third proportional to 355,096 and 499,453 is: 702,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,096 : 499,453 = 499,453 : x
  2. Step 2: Convert to fraction form
    355,096/499,453 = 499,453/x
  3. Step 3: Cross multiply
    355,096x = 499,453 × 499,453
  4. Step 4: Simplify right side
    355,096x = 249,453,299,209
  5. Step 5: Solve for x
    x = 249,453,299,209/355,096
  6. Step 6: Final answer
    x = 702,495.38

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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.