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Finding the Third Proportional to 497,265 and 1,088,574

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Solution

The third proportional to 497,265 and 1,088,574 is: 2,383,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,265 : 1,088,574 = 1,088,574 : x
  2. Step 2: Convert to fraction form
    497,265/1,088,574 = 1,088,574/x
  3. Step 3: Cross multiply
    497,265x = 1,088,574 × 1,088,574
  4. Step 4: Simplify right side
    497,265x = 1,184,993,353,476
  5. Step 5: Solve for x
    x = 1,184,993,353,476/497,265
  6. Step 6: Final answer
    x = 2,383,021.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.