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Finding the Third Proportional to 202,970 and 459,071

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Solution

The third proportional to 202,970 and 459,071 is: 1,038,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,970 : 459,071 = 459,071 : x
  2. Step 2: Convert to fraction form
    202,970/459,071 = 459,071/x
  3. Step 3: Cross multiply
    202,970x = 459,071 × 459,071
  4. Step 4: Simplify right side
    202,970x = 210,746,183,041
  5. Step 5: Solve for x
    x = 210,746,183,041/202,970
  6. Step 6: Final answer
    x = 1,038,311.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.