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Finding the Third Proportional to 295,244 and 470,014

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Solution

The third proportional to 295,244 and 470,014 is: 748,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,244 : 470,014 = 470,014 : x
  2. Step 2: Convert to fraction form
    295,244/470,014 = 470,014/x
  3. Step 3: Cross multiply
    295,244x = 470,014 × 470,014
  4. Step 4: Simplify right side
    295,244x = 220,913,160,196
  5. Step 5: Solve for x
    x = 220,913,160,196/295,244
  6. Step 6: Final answer
    x = 748,239.29

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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.