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Finding the Third Proportional to 355,056 and 499,408

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Solution

The third proportional to 355,056 and 499,408 is: 702,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,056 : 499,408 = 499,408 : x
  2. Step 2: Convert to fraction form
    355,056/499,408 = 499,408/x
  3. Step 3: Cross multiply
    355,056x = 499,408 × 499,408
  4. Step 4: Simplify right side
    355,056x = 249,408,350,464
  5. Step 5: Solve for x
    x = 249,408,350,464/355,056
  6. Step 6: Final answer
    x = 702,447.93

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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.