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Finding the Third Proportional to 447,121 and 697,897.50

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Solution

The third proportional to 447,121 and 697,897.50 is: 1,089,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,121 : 697,897.50 = 697,897.50 : x
  2. Step 2: Convert to fraction form
    447,121/697,897.50 = 697,897.50/x
  3. Step 3: Cross multiply
    447,121x = 697,897.50 × 697,897.50
  4. Step 4: Simplify right side
    447,121x = 487,060,920,506.25
  5. Step 5: Solve for x
    x = 487,060,920,506.25/447,121
  6. Step 6: Final answer
    x = 1,089,326.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.