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Finding the Third Proportional to 200,849 and 473,319

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Solution

The third proportional to 200,849 and 473,319 is: 1,115,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,849 : 473,319 = 473,319 : x
  2. Step 2: Convert to fraction form
    200,849/473,319 = 473,319/x
  3. Step 3: Cross multiply
    200,849x = 473,319 × 473,319
  4. Step 4: Simplify right side
    200,849x = 224,030,875,761
  5. Step 5: Solve for x
    x = 224,030,875,761/200,849
  6. Step 6: Final answer
    x = 1,115,419.42

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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.