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Finding the Third Proportional to 763,576.88 and 1,507,874.63

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Solution

The third proportional to 763,576.88 and 1,507,874.63 is: 2,977,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,576.88 : 1,507,874.63 = 1,507,874.63 : x
  2. Step 2: Convert to fraction form
    763,576.88/1,507,874.63 = 1,507,874.63/x
  3. Step 3: Cross multiply
    763,576.88x = 1,507,874.63 × 1,507,874.63
  4. Step 4: Simplify right side
    763,576.88x = 2,273,685,884,718.89
  5. Step 5: Solve for x
    x = 2,273,685,884,718.89/763,576.88
  6. Step 6: Final answer
    x = 2,977,677.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.