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Finding the Third Proportional to 431,114 and 652,634

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Solution

The third proportional to 431,114 and 652,634 is: 987,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,114 : 652,634 = 652,634 : x
  2. Step 2: Convert to fraction form
    431,114/652,634 = 652,634/x
  3. Step 3: Cross multiply
    431,114x = 652,634 × 652,634
  4. Step 4: Simplify right side
    431,114x = 425,931,137,956
  5. Step 5: Solve for x
    x = 425,931,137,956/431,114
  6. Step 6: Final answer
    x = 987,977.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.