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Finding the Third Proportional to 612,064.50 and 918,097.50

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Solution

The third proportional to 612,064.50 and 918,097.50 is: 1,377,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,064.50 : 918,097.50 = 918,097.50 : x
  2. Step 2: Convert to fraction form
    612,064.50/918,097.50 = 918,097.50/x
  3. Step 3: Cross multiply
    612,064.50x = 918,097.50 × 918,097.50
  4. Step 4: Simplify right side
    612,064.50x = 842,903,019,506.25
  5. Step 5: Solve for x
    x = 842,903,019,506.25/612,064.50
  6. Step 6: Final answer
    x = 1,377,147.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.