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Finding the Third Proportional to 358,826 and 845,854

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Solution

The third proportional to 358,826 and 845,854 is: 1,993,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,826 : 845,854 = 845,854 : x
  2. Step 2: Convert to fraction form
    358,826/845,854 = 845,854/x
  3. Step 3: Cross multiply
    358,826x = 845,854 × 845,854
  4. Step 4: Simplify right side
    358,826x = 715,468,989,316
  5. Step 5: Solve for x
    x = 715,468,989,316/358,826
  6. Step 6: Final answer
    x = 1,993,916.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.