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Finding the Third Proportional to 366,404 and 803,656

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Solution

The third proportional to 366,404 and 803,656 is: 1,762,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,404 : 803,656 = 803,656 : x
  2. Step 2: Convert to fraction form
    366,404/803,656 = 803,656/x
  3. Step 3: Cross multiply
    366,404x = 803,656 × 803,656
  4. Step 4: Simplify right side
    366,404x = 645,862,966,336
  5. Step 5: Solve for x
    x = 645,862,966,336/366,404
  6. Step 6: Final answer
    x = 1,762,707.19

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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.