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Finding the Third Proportional to 470,112 and 685,476

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Solution

The third proportional to 470,112 and 685,476 is: 999,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,112 : 685,476 = 685,476 : x
  2. Step 2: Convert to fraction form
    470,112/685,476 = 685,476/x
  3. Step 3: Cross multiply
    470,112x = 685,476 × 685,476
  4. Step 4: Simplify right side
    470,112x = 469,877,346,576
  5. Step 5: Solve for x
    x = 469,877,346,576/470,112
  6. Step 6: Final answer
    x = 999,500.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.