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Finding the Third Proportional to 264,629 and 346,095

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Solution

The third proportional to 264,629 and 346,095 is: 452,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,629 : 346,095 = 346,095 : x
  2. Step 2: Convert to fraction form
    264,629/346,095 = 346,095/x
  3. Step 3: Cross multiply
    264,629x = 346,095 × 346,095
  4. Step 4: Simplify right side
    264,629x = 119,781,749,025
  5. Step 5: Solve for x
    x = 119,781,749,025/264,629
  6. Step 6: Final answer
    x = 452,640.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.