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Finding the Third Proportional to 253,224 and 540,347

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Solution

The third proportional to 253,224 and 540,347 is: 1,153,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,224 : 540,347 = 540,347 : x
  2. Step 2: Convert to fraction form
    253,224/540,347 = 540,347/x
  3. Step 3: Cross multiply
    253,224x = 540,347 × 540,347
  4. Step 4: Simplify right side
    253,224x = 291,974,880,409
  5. Step 5: Solve for x
    x = 291,974,880,409/253,224
  6. Step 6: Final answer
    x = 1,153,030.05

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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.