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Finding the Third Proportional to 354,927 and 498,023

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Solution

The third proportional to 354,927 and 498,023 is: 698,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,927 : 498,023 = 498,023 : x
  2. Step 2: Convert to fraction form
    354,927/498,023 = 498,023/x
  3. Step 3: Cross multiply
    354,927x = 498,023 × 498,023
  4. Step 4: Simplify right side
    354,927x = 248,026,908,529
  5. Step 5: Solve for x
    x = 248,026,908,529/354,927
  6. Step 6: Final answer
    x = 698,811.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.