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Finding the Third Proportional to 367,010 and 536,352

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Solution

The third proportional to 367,010 and 536,352 is: 783,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,010 : 536,352 = 536,352 : x
  2. Step 2: Convert to fraction form
    367,010/536,352 = 536,352/x
  3. Step 3: Cross multiply
    367,010x = 536,352 × 536,352
  4. Step 4: Simplify right side
    367,010x = 287,673,467,904
  5. Step 5: Solve for x
    x = 287,673,467,904/367,010
  6. Step 6: Final answer
    x = 783,830.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.