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Finding the Third Proportional to 352,547 and 529,601

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Solution

The third proportional to 352,547 and 529,601 is: 795,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,547 : 529,601 = 529,601 : x
  2. Step 2: Convert to fraction form
    352,547/529,601 = 529,601/x
  3. Step 3: Cross multiply
    352,547x = 529,601 × 529,601
  4. Step 4: Simplify right side
    352,547x = 280,477,219,201
  5. Step 5: Solve for x
    x = 280,477,219,201/352,547
  6. Step 6: Final answer
    x = 795,573.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.