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Finding the Third Proportional to 412,897.50 and 638,165.25

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Solution

The third proportional to 412,897.50 and 638,165.25 is: 986,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,897.50 : 638,165.25 = 638,165.25 : x
  2. Step 2: Convert to fraction form
    412,897.50/638,165.25 = 638,165.25/x
  3. Step 3: Cross multiply
    412,897.50x = 638,165.25 × 638,165.25
  4. Step 4: Simplify right side
    412,897.50x = 407,254,886,307.56
  5. Step 5: Solve for x
    x = 407,254,886,307.56/412,897.50
  6. Step 6: Final answer
    x = 986,334.11

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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.