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Finding the Third Proportional to 634,300.03 and 983,670.47

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Solution

The third proportional to 634,300.03 and 983,670.47 is: 1,525,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,300.03 : 983,670.47 = 983,670.47 : x
  2. Step 2: Convert to fraction form
    634,300.03/983,670.47 = 983,670.47/x
  3. Step 3: Cross multiply
    634,300.03x = 983,670.47 × 983,670.47
  4. Step 4: Simplify right side
    634,300.03x = 967,607,591,090.85
  5. Step 5: Solve for x
    x = 967,607,591,090.85/634,300.03
  6. Step 6: Final answer
    x = 1,525,473.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.