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Finding the Third Proportional to 213,498 and 459,984

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Solution

The third proportional to 213,498 and 459,984 is: 991,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,498 : 459,984 = 459,984 : x
  2. Step 2: Convert to fraction form
    213,498/459,984 = 459,984/x
  3. Step 3: Cross multiply
    213,498x = 459,984 × 459,984
  4. Step 4: Simplify right side
    213,498x = 211,585,280,256
  5. Step 5: Solve for x
    x = 211,585,280,256/213,498
  6. Step 6: Final answer
    x = 991,041.04

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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.