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Finding the Third Proportional to 230,952 and 514,368

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Solution

The third proportional to 230,952 and 514,368 is: 1,145,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,952 : 514,368 = 514,368 : x
  2. Step 2: Convert to fraction form
    230,952/514,368 = 514,368/x
  3. Step 3: Cross multiply
    230,952x = 514,368 × 514,368
  4. Step 4: Simplify right side
    230,952x = 264,574,439,424
  5. Step 5: Solve for x
    x = 264,574,439,424/230,952
  6. Step 6: Final answer
    x = 1,145,581.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.