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Finding the Third Proportional to 200,344 and 423,044

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Solution

The third proportional to 200,344 and 423,044 is: 893,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,344 : 423,044 = 423,044 : x
  2. Step 2: Convert to fraction form
    200,344/423,044 = 423,044/x
  3. Step 3: Cross multiply
    200,344x = 423,044 × 423,044
  4. Step 4: Simplify right side
    200,344x = 178,966,225,936
  5. Step 5: Solve for x
    x = 178,966,225,936/200,344
  6. Step 6: Final answer
    x = 893,294.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.