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Finding the Third Proportional to 557,454 and 841,405

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Solution

The third proportional to 557,454 and 841,405 is: 1,269,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,454 : 841,405 = 841,405 : x
  2. Step 2: Convert to fraction form
    557,454/841,405 = 841,405/x
  3. Step 3: Cross multiply
    557,454x = 841,405 × 841,405
  4. Step 4: Simplify right side
    557,454x = 707,962,374,025
  5. Step 5: Solve for x
    x = 707,962,374,025/557,454
  6. Step 6: Final answer
    x = 1,269,992.46

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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.