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Finding the Third Proportional to 338,648 and 723,952

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Solution

The third proportional to 338,648 and 723,952 is: 1,547,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,648 : 723,952 = 723,952 : x
  2. Step 2: Convert to fraction form
    338,648/723,952 = 723,952/x
  3. Step 3: Cross multiply
    338,648x = 723,952 × 723,952
  4. Step 4: Simplify right side
    338,648x = 524,106,498,304
  5. Step 5: Solve for x
    x = 524,106,498,304/338,648
  6. Step 6: Final answer
    x = 1,547,643.86

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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.