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Finding the Third Proportional to 312,084 and 470,934

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Solution

The third proportional to 312,084 and 470,934 is: 710,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,084 : 470,934 = 470,934 : x
  2. Step 2: Convert to fraction form
    312,084/470,934 = 470,934/x
  3. Step 3: Cross multiply
    312,084x = 470,934 × 470,934
  4. Step 4: Simplify right side
    312,084x = 221,778,832,356
  5. Step 5: Solve for x
    x = 221,778,832,356/312,084
  6. Step 6: Final answer
    x = 710,638.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.