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Finding the Third Proportional to 671,773.50 and 987,835.50

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Solution

The third proportional to 671,773.50 and 987,835.50 is: 1,452,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,773.50 : 987,835.50 = 987,835.50 : x
  2. Step 2: Convert to fraction form
    671,773.50/987,835.50 = 987,835.50/x
  3. Step 3: Cross multiply
    671,773.50x = 987,835.50 × 987,835.50
  4. Step 4: Simplify right side
    671,773.50x = 975,818,975,060.25
  5. Step 5: Solve for x
    x = 975,818,975,060.25/671,773.50
  6. Step 6: Final answer
    x = 1,452,601.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.