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Finding the Third Proportional to 291,584 and 435,858

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Solution

The third proportional to 291,584 and 435,858 is: 651,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,584 : 435,858 = 435,858 : x
  2. Step 2: Convert to fraction form
    291,584/435,858 = 435,858/x
  3. Step 3: Cross multiply
    291,584x = 435,858 × 435,858
  4. Step 4: Simplify right side
    291,584x = 189,972,196,164
  5. Step 5: Solve for x
    x = 189,972,196,164/291,584
  6. Step 6: Final answer
    x = 651,517.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.