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Finding the Third Proportional to 210,414 and 450,373.50

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Solution

The third proportional to 210,414 and 450,373.50 is: 963,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414 : 450,373.50 = 450,373.50 : x
  2. Step 2: Convert to fraction form
    210,414/450,373.50 = 450,373.50/x
  3. Step 3: Cross multiply
    210,414x = 450,373.50 × 450,373.50
  4. Step 4: Simplify right side
    210,414x = 202,836,289,502.25
  5. Step 5: Solve for x
    x = 202,836,289,502.25/210,414
  6. Step 6: Final answer
    x = 963,986.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.