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Finding the Third Proportional to 308,004 and 460,752

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Solution

The third proportional to 308,004 and 460,752 is: 689,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,004 : 460,752 = 460,752 : x
  2. Step 2: Convert to fraction form
    308,004/460,752 = 460,752/x
  3. Step 3: Cross multiply
    308,004x = 460,752 × 460,752
  4. Step 4: Simplify right side
    308,004x = 212,292,405,504
  5. Step 5: Solve for x
    x = 212,292,405,504/308,004
  6. Step 6: Final answer
    x = 689,252.11

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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.