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Finding the Third Proportional to 338,643 and 723,941

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Solution

The third proportional to 338,643 and 723,941 is: 1,547,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,643 : 723,941 = 723,941 : x
  2. Step 2: Convert to fraction form
    338,643/723,941 = 723,941/x
  3. Step 3: Cross multiply
    338,643x = 723,941 × 723,941
  4. Step 4: Simplify right side
    338,643x = 524,090,571,481
  5. Step 5: Solve for x
    x = 524,090,571,481/338,643
  6. Step 6: Final answer
    x = 1,547,619.68

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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.