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Finding the Third Proportional to 470,070 and 706,144.50

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Solution

The third proportional to 470,070 and 706,144.50 is: 1,060,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,070 : 706,144.50 = 706,144.50 : x
  2. Step 2: Convert to fraction form
    470,070/706,144.50 = 706,144.50/x
  3. Step 3: Cross multiply
    470,070x = 706,144.50 × 706,144.50
  4. Step 4: Simplify right side
    470,070x = 498,640,054,880.25
  5. Step 5: Solve for x
    x = 498,640,054,880.25/470,070
  6. Step 6: Final answer
    x = 1,060,778.30

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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.