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Finding the Third Proportional to 205,541 and 448,335

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Solution

The third proportional to 205,541 and 448,335 is: 977,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,541 : 448,335 = 448,335 : x
  2. Step 2: Convert to fraction form
    205,541/448,335 = 448,335/x
  3. Step 3: Cross multiply
    205,541x = 448,335 × 448,335
  4. Step 4: Simplify right side
    205,541x = 201,004,272,225
  5. Step 5: Solve for x
    x = 201,004,272,225/205,541
  6. Step 6: Final answer
    x = 977,927.87

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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.