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Finding the Third Proportional to 294,481,372.50 and 456,603,500.25

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Solution

The third proportional to 294,481,372.50 and 456,603,500.25 is: 707,979,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,481,372.50 : 456,603,500.25 = 456,603,500.25 : x
  2. Step 2: Convert to fraction form
    294,481,372.50/456,603,500.25 = 456,603,500.25/x
  3. Step 3: Cross multiply
    294,481,372.50x = 456,603,500.25 × 456,603,500.25
  4. Step 4: Simplify right side
    294,481,372.50x = 208,486,756,440,551,744
  5. Step 5: Solve for x
    x = 208,486,756,440,551,744/294,481,372.50
  6. Step 6: Final answer
    x = 707,979,437.44

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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.