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Finding the Third Proportional to 352,590 and 514,116

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Solution

The third proportional to 352,590 and 514,116 is: 749,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,590 : 514,116 = 514,116 : x
  2. Step 2: Convert to fraction form
    352,590/514,116 = 514,116/x
  3. Step 3: Cross multiply
    352,590x = 514,116 × 514,116
  4. Step 4: Simplify right side
    352,590x = 264,315,261,456
  5. Step 5: Solve for x
    x = 264,315,261,456/352,590
  6. Step 6: Final answer
    x = 749,639.13

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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.