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Finding the Third Proportional to 344,955 and 523,264.50

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Solution

The third proportional to 344,955 and 523,264.50 is: 793,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,955 : 523,264.50 = 523,264.50 : x
  2. Step 2: Convert to fraction form
    344,955/523,264.50 = 523,264.50/x
  3. Step 3: Cross multiply
    344,955x = 523,264.50 × 523,264.50
  4. Step 4: Simplify right side
    344,955x = 273,805,736,960.25
  5. Step 5: Solve for x
    x = 273,805,736,960.25/344,955
  6. Step 6: Final answer
    x = 793,743.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.