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Finding the Third Proportional to 349,026 and 759,854

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Solution

The third proportional to 349,026 and 759,854 is: 1,654,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,026 : 759,854 = 759,854 : x
  2. Step 2: Convert to fraction form
    349,026/759,854 = 759,854/x
  3. Step 3: Cross multiply
    349,026x = 759,854 × 759,854
  4. Step 4: Simplify right side
    349,026x = 577,378,101,316
  5. Step 5: Solve for x
    x = 577,378,101,316/349,026
  6. Step 6: Final answer
    x = 1,654,255.27

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