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Finding the Third Proportional to 338,634 and 723,924

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Solution

The third proportional to 338,634 and 723,924 is: 1,547,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,634 : 723,924 = 723,924 : x
  2. Step 2: Convert to fraction form
    338,634/723,924 = 723,924/x
  3. Step 3: Cross multiply
    338,634x = 723,924 × 723,924
  4. Step 4: Simplify right side
    338,634x = 524,065,957,776
  5. Step 5: Solve for x
    x = 524,065,957,776/338,634
  6. Step 6: Final answer
    x = 1,547,588.13

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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.