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Finding the Third Proportional to 344,864.25 and 538,250.63

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Solution

The third proportional to 344,864.25 and 538,250.63 is: 840,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,864.25 : 538,250.63 = 538,250.63 : x
  2. Step 2: Convert to fraction form
    344,864.25/538,250.63 = 538,250.63/x
  3. Step 3: Cross multiply
    344,864.25x = 538,250.63 × 538,250.63
  4. Step 4: Simplify right side
    344,864.25x = 289,713,735,312.89
  5. Step 5: Solve for x
    x = 289,713,735,312.89/344,864.25
  6. Step 6: Final answer
    x = 840,080.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.