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Finding the Third Proportional to 291,072 and 434,810

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Solution

The third proportional to 291,072 and 434,810 is: 649,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,072 : 434,810 = 434,810 : x
  2. Step 2: Convert to fraction form
    291,072/434,810 = 434,810/x
  3. Step 3: Cross multiply
    291,072x = 434,810 × 434,810
  4. Step 4: Simplify right side
    291,072x = 189,059,736,100
  5. Step 5: Solve for x
    x = 189,059,736,100/291,072
  6. Step 6: Final answer
    x = 649,529.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.