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Finding the Third Proportional to 337,078 and 722,133

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Solution

The third proportional to 337,078 and 722,133 is: 1,547,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,078 : 722,133 = 722,133 : x
  2. Step 2: Convert to fraction form
    337,078/722,133 = 722,133/x
  3. Step 3: Cross multiply
    337,078x = 722,133 × 722,133
  4. Step 4: Simplify right side
    337,078x = 521,476,069,689
  5. Step 5: Solve for x
    x = 521,476,069,689/337,078
  6. Step 6: Final answer
    x = 1,547,048.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.