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Finding the Third Proportional to 291,110 and 462,909

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Solution

The third proportional to 291,110 and 462,909 is: 736,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,110 : 462,909 = 462,909 : x
  2. Step 2: Convert to fraction form
    291,110/462,909 = 462,909/x
  3. Step 3: Cross multiply
    291,110x = 462,909 × 462,909
  4. Step 4: Simplify right side
    291,110x = 214,284,742,281
  5. Step 5: Solve for x
    x = 214,284,742,281/291,110
  6. Step 6: Final answer
    x = 736,095.44

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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.