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Finding the Third Proportional to 317,014 and 470,282

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Solution

The third proportional to 317,014 and 470,282 is: 697,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,014 : 470,282 = 470,282 : x
  2. Step 2: Convert to fraction form
    317,014/470,282 = 470,282/x
  3. Step 3: Cross multiply
    317,014x = 470,282 × 470,282
  4. Step 4: Simplify right side
    317,014x = 221,165,159,524
  5. Step 5: Solve for x
    x = 221,165,159,524/317,014
  6. Step 6: Final answer
    x = 697,651.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.