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Finding the Third Proportional to 213,089.63 and 459,389.25

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Solution

The third proportional to 213,089.63 and 459,389.25 is: 990,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.63 : 459,389.25 = 459,389.25 : x
  2. Step 2: Convert to fraction form
    213,089.63/459,389.25 = 459,389.25/x
  3. Step 3: Cross multiply
    213,089.63x = 459,389.25 × 459,389.25
  4. Step 4: Simplify right side
    213,089.63x = 211,038,483,015.56
  5. Step 5: Solve for x
    x = 211,038,483,015.56/213,089.63
  6. Step 6: Final answer
    x = 990,374.28

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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.