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Finding the Third Proportional to 210,370.50 and 459,291

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Solution

The third proportional to 210,370.50 and 459,291 is: 1,002,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,370.50 : 459,291 = 459,291 : x
  2. Step 2: Convert to fraction form
    210,370.50/459,291 = 459,291/x
  3. Step 3: Cross multiply
    210,370.50x = 459,291 × 459,291
  4. Step 4: Simplify right side
    210,370.50x = 210,948,222,681
  5. Step 5: Solve for x
    x = 210,948,222,681/210,370.50
  6. Step 6: Final answer
    x = 1,002,746.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.