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Finding the Third Proportional to 252,436.88 and 540,341.63

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Solution

The third proportional to 252,436.88 and 540,341.63 is: 1,156,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,436.88 : 540,341.63 = 540,341.63 : x
  2. Step 2: Convert to fraction form
    252,436.88/540,341.63 = 540,341.63/x
  3. Step 3: Cross multiply
    252,436.88x = 540,341.63 × 540,341.63
  4. Step 4: Simplify right side
    252,436.88x = 291,969,071,707.64
  5. Step 5: Solve for x
    x = 291,969,071,707.64/252,436.88
  6. Step 6: Final answer
    x = 1,156,602.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.