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Finding the Third Proportional to 291,090 and 462,879

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Solution

The third proportional to 291,090 and 462,879 is: 736,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,090 : 462,879 = 462,879 : x
  2. Step 2: Convert to fraction form
    291,090/462,879 = 462,879/x
  3. Step 3: Cross multiply
    291,090x = 462,879 × 462,879
  4. Step 4: Simplify right side
    291,090x = 214,256,968,641
  5. Step 5: Solve for x
    x = 214,256,968,641/291,090
  6. Step 6: Final answer
    x = 736,050.60

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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.