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Finding the Third Proportional to 291,106 and 462,904

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Solution

The third proportional to 291,106 and 462,904 is: 736,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,106 : 462,904 = 462,904 : x
  2. Step 2: Convert to fraction form
    291,106/462,904 = 462,904/x
  3. Step 3: Cross multiply
    291,106x = 462,904 × 462,904
  4. Step 4: Simplify right side
    291,106x = 214,280,113,216
  5. Step 5: Solve for x
    x = 214,280,113,216/291,106
  6. Step 6: Final answer
    x = 736,089.65

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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.