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Finding the Third Proportional to 295,212 and 469,968

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Solution

The third proportional to 295,212 and 469,968 is: 748,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,212 : 469,968 = 469,968 : x
  2. Step 2: Convert to fraction form
    295,212/469,968 = 469,968/x
  3. Step 3: Cross multiply
    295,212x = 469,968 × 469,968
  4. Step 4: Simplify right side
    295,212x = 220,869,921,024
  5. Step 5: Solve for x
    x = 220,869,921,024/295,212
  6. Step 6: Final answer
    x = 748,173.93

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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.