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Finding the Third Proportional to 529,275.94 and 842,180.63

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Solution

The third proportional to 529,275.94 and 842,180.63 is: 1,340,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,275.94 : 842,180.63 = 842,180.63 : x
  2. Step 2: Convert to fraction form
    529,275.94/842,180.63 = 842,180.63/x
  3. Step 3: Cross multiply
    529,275.94x = 842,180.63 × 842,180.63
  4. Step 4: Simplify right side
    529,275.94x = 709,268,205,125.39
  5. Step 5: Solve for x
    x = 709,268,205,125.39/529,275.94
  6. Step 6: Final answer
    x = 1,340,072.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.