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Finding the Third Proportional to 413,113.50 and 902,043

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Solution

The third proportional to 413,113.50 and 902,043 is: 1,969,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,113.50 : 902,043 = 902,043 : x
  2. Step 2: Convert to fraction form
    413,113.50/902,043 = 902,043/x
  3. Step 3: Cross multiply
    413,113.50x = 902,043 × 902,043
  4. Step 4: Simplify right side
    413,113.50x = 813,681,573,849
  5. Step 5: Solve for x
    x = 813,681,573,849/413,113.50
  6. Step 6: Final answer
    x = 1,969,632.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.