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Finding the Third Proportional to 340,056 and 744,753

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Solution

The third proportional to 340,056 and 744,753 is: 1,631,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,056 : 744,753 = 744,753 : x
  2. Step 2: Convert to fraction form
    340,056/744,753 = 744,753/x
  3. Step 3: Cross multiply
    340,056x = 744,753 × 744,753
  4. Step 4: Simplify right side
    340,056x = 554,657,031,009
  5. Step 5: Solve for x
    x = 554,657,031,009/340,056
  6. Step 6: Final answer
    x = 1,631,075.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.