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Finding the Third Proportional to 200,628 and 473,580

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Solution

The third proportional to 200,628 and 473,580 is: 1,117,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,628 : 473,580 = 473,580 : x
  2. Step 2: Convert to fraction form
    200,628/473,580 = 473,580/x
  3. Step 3: Cross multiply
    200,628x = 473,580 × 473,580
  4. Step 4: Simplify right side
    200,628x = 224,278,016,400
  5. Step 5: Solve for x
    x = 224,278,016,400/200,628
  6. Step 6: Final answer
    x = 1,117,879.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.