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Finding the Third Proportional to 291,087 and 462,874.50

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Solution

The third proportional to 291,087 and 462,874.50 is: 736,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,087 : 462,874.50 = 462,874.50 : x
  2. Step 2: Convert to fraction form
    291,087/462,874.50 = 462,874.50/x
  3. Step 3: Cross multiply
    291,087x = 462,874.50 × 462,874.50
  4. Step 4: Simplify right side
    291,087x = 214,252,802,750.25
  5. Step 5: Solve for x
    x = 214,252,802,750.25/291,087
  6. Step 6: Final answer
    x = 736,043.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.