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Finding the Third Proportional to 201,835 and 475,781

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Solution

The third proportional to 201,835 and 475,781 is: 1,121,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,835 : 475,781 = 475,781 : x
  2. Step 2: Convert to fraction form
    201,835/475,781 = 475,781/x
  3. Step 3: Cross multiply
    201,835x = 475,781 × 475,781
  4. Step 4: Simplify right side
    201,835x = 226,367,559,961
  5. Step 5: Solve for x
    x = 226,367,559,961/201,835
  6. Step 6: Final answer
    x = 1,121,547.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.