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Finding the Third Proportional to 213,089 and 459,389

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Solution

The third proportional to 213,089 and 459,389 is: 990,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089 : 459,389 = 459,389 : x
  2. Step 2: Convert to fraction form
    213,089/459,389 = 459,389/x
  3. Step 3: Cross multiply
    213,089x = 459,389 × 459,389
  4. Step 4: Simplify right side
    213,089x = 211,038,253,321
  5. Step 5: Solve for x
    x = 211,038,253,321/213,089
  6. Step 6: Final answer
    x = 990,376.10

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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.