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Finding the Third Proportional to 202,523 and 468,854

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Solution

The third proportional to 202,523 and 468,854 is: 1,085,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,523 : 468,854 = 468,854 : x
  2. Step 2: Convert to fraction form
    202,523/468,854 = 468,854/x
  3. Step 3: Cross multiply
    202,523x = 468,854 × 468,854
  4. Step 4: Simplify right side
    202,523x = 219,824,073,316
  5. Step 5: Solve for x
    x = 219,824,073,316/202,523
  6. Step 6: Final answer
    x = 1,085,427.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.