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Finding the Third Proportional to 233,856 and 514,368

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Solution

The third proportional to 233,856 and 514,368 is: 1,131,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,856 : 514,368 = 514,368 : x
  2. Step 2: Convert to fraction form
    233,856/514,368 = 514,368/x
  3. Step 3: Cross multiply
    233,856x = 514,368 × 514,368
  4. Step 4: Simplify right side
    233,856x = 264,574,439,424
  5. Step 5: Solve for x
    x = 264,574,439,424/233,856
  6. Step 6: Final answer
    x = 1,131,356.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.