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Finding the Third Proportional to 210,052.50 and 460,922.50

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Solution

The third proportional to 210,052.50 and 460,922.50 is: 1,011,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,052.50 : 460,922.50 = 460,922.50 : x
  2. Step 2: Convert to fraction form
    210,052.50/460,922.50 = 460,922.50/x
  3. Step 3: Cross multiply
    210,052.50x = 460,922.50 × 460,922.50
  4. Step 4: Simplify right side
    210,052.50x = 212,449,551,006.25
  5. Step 5: Solve for x
    x = 212,449,551,006.25/210,052.50
  6. Step 6: Final answer
    x = 1,011,411.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.