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Finding the Third Proportional to 291,140 and 462,954

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Solution

The third proportional to 291,140 and 462,954 is: 736,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,140 : 462,954 = 462,954 : x
  2. Step 2: Convert to fraction form
    291,140/462,954 = 462,954/x
  3. Step 3: Cross multiply
    291,140x = 462,954 × 462,954
  4. Step 4: Simplify right side
    291,140x = 214,326,406,116
  5. Step 5: Solve for x
    x = 214,326,406,116/291,140
  6. Step 6: Final answer
    x = 736,162.69

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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.