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Finding the Third Proportional to 557,790 and 837,955

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Solution

The third proportional to 557,790 and 837,955 is: 1,258,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,790 : 837,955 = 837,955 : x
  2. Step 2: Convert to fraction form
    557,790/837,955 = 837,955/x
  3. Step 3: Cross multiply
    557,790x = 837,955 × 837,955
  4. Step 4: Simplify right side
    557,790x = 702,168,582,025
  5. Step 5: Solve for x
    x = 702,168,582,025/557,790
  6. Step 6: Final answer
    x = 1,258,840.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.