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Finding the Third Proportional to 200,599 and 483,332

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Solution

The third proportional to 200,599 and 483,332 is: 1,164,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,599 : 483,332 = 483,332 : x
  2. Step 2: Convert to fraction form
    200,599/483,332 = 483,332/x
  3. Step 3: Cross multiply
    200,599x = 483,332 × 483,332
  4. Step 4: Simplify right side
    200,599x = 233,609,822,224
  5. Step 5: Solve for x
    x = 233,609,822,224/200,599
  6. Step 6: Final answer
    x = 1,164,561.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.