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Finding the Third Proportional to 326,490 and 462,141

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Solution

The third proportional to 326,490 and 462,141 is: 654,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,490 : 462,141 = 462,141 : x
  2. Step 2: Convert to fraction form
    326,490/462,141 = 462,141/x
  3. Step 3: Cross multiply
    326,490x = 462,141 × 462,141
  4. Step 4: Simplify right side
    326,490x = 213,574,303,881
  5. Step 5: Solve for x
    x = 213,574,303,881/326,490
  6. Step 6: Final answer
    x = 654,152.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.