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Finding the Third Proportional to 421,663.50 and 652,203

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Solution

The third proportional to 421,663.50 and 652,203 is: 1,008,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,663.50 : 652,203 = 652,203 : x
  2. Step 2: Convert to fraction form
    421,663.50/652,203 = 652,203/x
  3. Step 3: Cross multiply
    421,663.50x = 652,203 × 652,203
  4. Step 4: Simplify right side
    421,663.50x = 425,368,753,209
  5. Step 5: Solve for x
    x = 425,368,753,209/421,663.50
  6. Step 6: Final answer
    x = 1,008,787.23

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