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Finding the Third Proportional to 433,044 and 680,265

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Solution

The third proportional to 433,044 and 680,265 is: 1,068,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,044 : 680,265 = 680,265 : x
  2. Step 2: Convert to fraction form
    433,044/680,265 = 680,265/x
  3. Step 3: Cross multiply
    433,044x = 680,265 × 680,265
  4. Step 4: Simplify right side
    433,044x = 462,760,470,225
  5. Step 5: Solve for x
    x = 462,760,470,225/433,044
  6. Step 6: Final answer
    x = 1,068,622.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.