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Finding the Third Proportional to 297,705 and 447,232.50

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Solution

The third proportional to 297,705 and 447,232.50 is: 671,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,705 : 447,232.50 = 447,232.50 : x
  2. Step 2: Convert to fraction form
    297,705/447,232.50 = 447,232.50/x
  3. Step 3: Cross multiply
    297,705x = 447,232.50 × 447,232.50
  4. Step 4: Simplify right side
    297,705x = 200,016,909,056.25
  5. Step 5: Solve for x
    x = 200,016,909,056.25/297,705
  6. Step 6: Final answer
    x = 671,862.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.