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Finding the Third Proportional to 413,396 and 620,088

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Solution

The third proportional to 413,396 and 620,088 is: 930,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,396 : 620,088 = 620,088 : x
  2. Step 2: Convert to fraction form
    413,396/620,088 = 620,088/x
  3. Step 3: Cross multiply
    413,396x = 620,088 × 620,088
  4. Step 4: Simplify right side
    413,396x = 384,509,127,744
  5. Step 5: Solve for x
    x = 384,509,127,744/413,396
  6. Step 6: Final answer
    x = 930,123.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.