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Finding the Third Proportional to 230,402 and 505,090

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Solution

The third proportional to 230,402 and 505,090 is: 1,107,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,402 : 505,090 = 505,090 : x
  2. Step 2: Convert to fraction form
    230,402/505,090 = 505,090/x
  3. Step 3: Cross multiply
    230,402x = 505,090 × 505,090
  4. Step 4: Simplify right side
    230,402x = 255,115,908,100
  5. Step 5: Solve for x
    x = 255,115,908,100/230,402
  6. Step 6: Final answer
    x = 1,107,264.30

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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.