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Finding the Third Proportional to 213,492 and 459,973

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Solution

The third proportional to 213,492 and 459,973 is: 991,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,492 : 459,973 = 459,973 : x
  2. Step 2: Convert to fraction form
    213,492/459,973 = 459,973/x
  3. Step 3: Cross multiply
    213,492x = 459,973 × 459,973
  4. Step 4: Simplify right side
    213,492x = 211,575,160,729
  5. Step 5: Solve for x
    x = 211,575,160,729/213,492
  6. Step 6: Final answer
    x = 991,021.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.