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Finding the Third Proportional to 366,788 and 803,560

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Solution

The third proportional to 366,788 and 803,560 is: 1,760,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,788 : 803,560 = 803,560 : x
  2. Step 2: Convert to fraction form
    366,788/803,560 = 803,560/x
  3. Step 3: Cross multiply
    366,788x = 803,560 × 803,560
  4. Step 4: Simplify right side
    366,788x = 645,708,673,600
  5. Step 5: Solve for x
    x = 645,708,673,600/366,788
  6. Step 6: Final answer
    x = 1,760,441.11

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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.