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Finding the Third Proportional to 200,712 and 473,790

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Solution

The third proportional to 200,712 and 473,790 is: 1,118,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,712 : 473,790 = 473,790 : x
  2. Step 2: Convert to fraction form
    200,712/473,790 = 473,790/x
  3. Step 3: Cross multiply
    200,712x = 473,790 × 473,790
  4. Step 4: Simplify right side
    200,712x = 224,476,964,100
  5. Step 5: Solve for x
    x = 224,476,964,100/200,712
  6. Step 6: Final answer
    x = 1,118,403.30

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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.