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Finding the Third Proportional to 253,234 and 540,362

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Solution

The third proportional to 253,234 and 540,362 is: 1,153,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,234 : 540,362 = 540,362 : x
  2. Step 2: Convert to fraction form
    253,234/540,362 = 540,362/x
  3. Step 3: Cross multiply
    253,234x = 540,362 × 540,362
  4. Step 4: Simplify right side
    253,234x = 291,991,091,044
  5. Step 5: Solve for x
    x = 291,991,091,044/253,234
  6. Step 6: Final answer
    x = 1,153,048.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.