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Finding the Third Proportional to 484,467 and 693,484.50

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Solution

The third proportional to 484,467 and 693,484.50 is: 992,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,467 : 693,484.50 = 693,484.50 : x
  2. Step 2: Convert to fraction form
    484,467/693,484.50 = 693,484.50/x
  3. Step 3: Cross multiply
    484,467x = 693,484.50 × 693,484.50
  4. Step 4: Simplify right side
    484,467x = 480,920,751,740.25
  5. Step 5: Solve for x
    x = 480,920,751,740.25/484,467
  6. Step 6: Final answer
    x = 992,680.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.