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Finding the Third Proportional to 242,092 and 531,964

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Solution

The third proportional to 242,092 and 531,964 is: 1,168,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,092 : 531,964 = 531,964 : x
  2. Step 2: Convert to fraction form
    242,092/531,964 = 531,964/x
  3. Step 3: Cross multiply
    242,092x = 531,964 × 531,964
  4. Step 4: Simplify right side
    242,092x = 282,985,697,296
  5. Step 5: Solve for x
    x = 282,985,697,296/242,092
  6. Step 6: Final answer
    x = 1,168,918.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.