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Finding the Third Proportional to 344,964 and 754,053

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Solution

The third proportional to 344,964 and 754,053 is: 1,648,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,964 : 754,053 = 754,053 : x
  2. Step 2: Convert to fraction form
    344,964/754,053 = 754,053/x
  3. Step 3: Cross multiply
    344,964x = 754,053 × 754,053
  4. Step 4: Simplify right side
    344,964x = 568,595,926,809
  5. Step 5: Solve for x
    x = 568,595,926,809/344,964
  6. Step 6: Final answer
    x = 1,648,276.13

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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.