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Finding the Third Proportional to 315,214 and 471,706

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Solution

The third proportional to 315,214 and 471,706 is: 705,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,214 : 471,706 = 471,706 : x
  2. Step 2: Convert to fraction form
    315,214/471,706 = 471,706/x
  3. Step 3: Cross multiply
    315,214x = 471,706 × 471,706
  4. Step 4: Simplify right side
    315,214x = 222,506,550,436
  5. Step 5: Solve for x
    x = 222,506,550,436/315,214
  6. Step 6: Final answer
    x = 705,890.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.