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Finding the Third Proportional to 295,246 and 470,017

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Solution

The third proportional to 295,246 and 470,017 is: 748,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,246 : 470,017 = 470,017 : x
  2. Step 2: Convert to fraction form
    295,246/470,017 = 470,017/x
  3. Step 3: Cross multiply
    295,246x = 470,017 × 470,017
  4. Step 4: Simplify right side
    295,246x = 220,915,980,289
  5. Step 5: Solve for x
    x = 220,915,980,289/295,246
  6. Step 6: Final answer
    x = 748,243.77

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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.