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Finding the Third Proportional to 221,074.31 and 473,693.06

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Solution

The third proportional to 221,074.31 and 473,693.06 is: 1,014,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,074.31 : 473,693.06 = 473,693.06 : x
  2. Step 2: Convert to fraction form
    221,074.31/473,693.06 = 473,693.06/x
  3. Step 3: Cross multiply
    221,074.31x = 473,693.06 × 473,693.06
  4. Step 4: Simplify right side
    221,074.31x = 224,385,117,460.63
  5. Step 5: Solve for x
    x = 224,385,117,460.63/221,074.31
  6. Step 6: Final answer
    x = 1,014,975.98

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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.