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Finding the Third Proportional to 355,032 and 499,376

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Solution

The third proportional to 355,032 and 499,376 is: 702,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,032 : 499,376 = 499,376 : x
  2. Step 2: Convert to fraction form
    355,032/499,376 = 499,376/x
  3. Step 3: Cross multiply
    355,032x = 499,376 × 499,376
  4. Step 4: Simplify right side
    355,032x = 249,376,389,376
  5. Step 5: Solve for x
    x = 249,376,389,376/355,032
  6. Step 6: Final answer
    x = 702,405.39

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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.