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Finding the Third Proportional to 346,947 and 739,699

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Solution

The third proportional to 346,947 and 739,699 is: 1,577,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,947 : 739,699 = 739,699 : x
  2. Step 2: Convert to fraction form
    346,947/739,699 = 739,699/x
  3. Step 3: Cross multiply
    346,947x = 739,699 × 739,699
  4. Step 4: Simplify right side
    346,947x = 547,154,610,601
  5. Step 5: Solve for x
    x = 547,154,610,601/346,947
  6. Step 6: Final answer
    x = 1,577,055.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.