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Finding the Third Proportional to 341,296 and 744,798

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Solution

The third proportional to 341,296 and 744,798 is: 1,625,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,296 : 744,798 = 744,798 : x
  2. Step 2: Convert to fraction form
    341,296/744,798 = 744,798/x
  3. Step 3: Cross multiply
    341,296x = 744,798 × 744,798
  4. Step 4: Simplify right side
    341,296x = 554,724,060,804
  5. Step 5: Solve for x
    x = 554,724,060,804/341,296
  6. Step 6: Final answer
    x = 1,625,345.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.