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Finding the Third Proportional to 205,537 and 448,328

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Solution

The third proportional to 205,537 and 448,328 is: 977,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,537 : 448,328 = 448,328 : x
  2. Step 2: Convert to fraction form
    205,537/448,328 = 448,328/x
  3. Step 3: Cross multiply
    205,537x = 448,328 × 448,328
  4. Step 4: Simplify right side
    205,537x = 200,997,995,584
  5. Step 5: Solve for x
    x = 200,997,995,584/205,537
  6. Step 6: Final answer
    x = 977,916.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.