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Finding the Third Proportional to 295,239 and 470,007

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Solution

The third proportional to 295,239 and 470,007 is: 748,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,239 : 470,007 = 470,007 : x
  2. Step 2: Convert to fraction form
    295,239/470,007 = 470,007/x
  3. Step 3: Cross multiply
    295,239x = 470,007 × 470,007
  4. Step 4: Simplify right side
    295,239x = 220,906,580,049
  5. Step 5: Solve for x
    x = 220,906,580,049/295,239
  6. Step 6: Final answer
    x = 748,229.67

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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.