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Finding the Third Proportional to 201,818 and 456,065

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Solution

The third proportional to 201,818 and 456,065 is: 1,030,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,818 : 456,065 = 456,065 : x
  2. Step 2: Convert to fraction form
    201,818/456,065 = 456,065/x
  3. Step 3: Cross multiply
    201,818x = 456,065 × 456,065
  4. Step 4: Simplify right side
    201,818x = 207,995,284,225
  5. Step 5: Solve for x
    x = 207,995,284,225/201,818
  6. Step 6: Final answer
    x = 1,030,608.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.