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Finding the Third Proportional to 214,482.94 and 466,322.06

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Solution

The third proportional to 214,482.94 and 466,322.06 is: 1,013,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,482.94 : 466,322.06 = 466,322.06 : x
  2. Step 2: Convert to fraction form
    214,482.94/466,322.06 = 466,322.06/x
  3. Step 3: Cross multiply
    214,482.94x = 466,322.06 × 466,322.06
  4. Step 4: Simplify right side
    214,482.94x = 217,456,265,974.25
  5. Step 5: Solve for x
    x = 217,456,265,974.25/214,482.94
  6. Step 6: Final answer
    x = 1,013,862.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.