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Finding the Third Proportional to 213,370 and 460,862

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Solution

The third proportional to 213,370 and 460,862 is: 995,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,370 : 460,862 = 460,862 : x
  2. Step 2: Convert to fraction form
    213,370/460,862 = 460,862/x
  3. Step 3: Cross multiply
    213,370x = 460,862 × 460,862
  4. Step 4: Simplify right side
    213,370x = 212,393,783,044
  5. Step 5: Solve for x
    x = 212,393,783,044/213,370
  6. Step 6: Final answer
    x = 995,424.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.