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Finding the Third Proportional to 205,499 and 450,283

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Solution

The third proportional to 205,499 and 450,283 is: 986,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,499 : 450,283 = 450,283 : x
  2. Step 2: Convert to fraction form
    205,499/450,283 = 450,283/x
  3. Step 3: Cross multiply
    205,499x = 450,283 × 450,283
  4. Step 4: Simplify right side
    205,499x = 202,754,780,089
  5. Step 5: Solve for x
    x = 202,754,780,089/205,499
  6. Step 6: Final answer
    x = 986,646.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.