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Finding the Third Proportional to 209,061 and 460,323

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Solution

The third proportional to 209,061 and 460,323 is: 1,013,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,061 : 460,323 = 460,323 : x
  2. Step 2: Convert to fraction form
    209,061/460,323 = 460,323/x
  3. Step 3: Cross multiply
    209,061x = 460,323 × 460,323
  4. Step 4: Simplify right side
    209,061x = 211,897,264,329
  5. Step 5: Solve for x
    x = 211,897,264,329/209,061
  6. Step 6: Final answer
    x = 1,013,566.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.