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Finding the Third Proportional to 295,943.63 and 647,240.63

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Solution

The third proportional to 295,943.63 and 647,240.63 is: 1,415,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,943.63 : 647,240.63 = 647,240.63 : x
  2. Step 2: Convert to fraction form
    295,943.63/647,240.63 = 647,240.63/x
  3. Step 3: Cross multiply
    295,943.63x = 647,240.63 × 647,240.63
  4. Step 4: Simplify right side
    295,943.63x = 418,920,426,650.39
  5. Step 5: Solve for x
    x = 418,920,426,650.39/295,943.63
  6. Step 6: Final answer
    x = 1,415,541.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.