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Finding the Third Proportional to 213,486 and 462,038

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Solution

The third proportional to 213,486 and 462,038 is: 999,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,486 : 462,038 = 462,038 : x
  2. Step 2: Convert to fraction form
    213,486/462,038 = 462,038/x
  3. Step 3: Cross multiply
    213,486x = 462,038 × 462,038
  4. Step 4: Simplify right side
    213,486x = 213,479,113,444
  5. Step 5: Solve for x
    x = 213,479,113,444/213,486
  6. Step 6: Final answer
    x = 999,967.74

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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.