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Finding the Third Proportional to 557,178 and 787,653

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Solution

The third proportional to 557,178 and 787,653 is: 1,113,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,178 : 787,653 = 787,653 : x
  2. Step 2: Convert to fraction form
    557,178/787,653 = 787,653/x
  3. Step 3: Cross multiply
    557,178x = 787,653 × 787,653
  4. Step 4: Simplify right side
    557,178x = 620,397,248,409
  5. Step 5: Solve for x
    x = 620,397,248,409/557,178
  6. Step 6: Final answer
    x = 1,113,463.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.