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Finding the Third Proportional to 463,648.50 and 988,539.50

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Solution

The third proportional to 463,648.50 and 988,539.50 is: 2,107,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648.50 : 988,539.50 = 988,539.50 : x
  2. Step 2: Convert to fraction form
    463,648.50/988,539.50 = 988,539.50/x
  3. Step 3: Cross multiply
    463,648.50x = 988,539.50 × 988,539.50
  4. Step 4: Simplify right side
    463,648.50x = 977,210,343,060.25
  5. Step 5: Solve for x
    x = 977,210,343,060.25/463,648.50
  6. Step 6: Final answer
    x = 2,107,653.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.