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Finding the Third Proportional to 366,402 and 803,652

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Solution

The third proportional to 366,402 and 803,652 is: 1,762,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,402 : 803,652 = 803,652 : x
  2. Step 2: Convert to fraction form
    366,402/803,652 = 803,652/x
  3. Step 3: Cross multiply
    366,402x = 803,652 × 803,652
  4. Step 4: Simplify right side
    366,402x = 645,856,537,104
  5. Step 5: Solve for x
    x = 645,856,537,104/366,402
  6. Step 6: Final answer
    x = 1,762,699.27

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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.