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Finding the Third Proportional to 377,472 and 824,952

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Solution

The third proportional to 377,472 and 824,952 is: 1,802,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,472 : 824,952 = 824,952 : x
  2. Step 2: Convert to fraction form
    377,472/824,952 = 824,952/x
  3. Step 3: Cross multiply
    377,472x = 824,952 × 824,952
  4. Step 4: Simplify right side
    377,472x = 680,545,802,304
  5. Step 5: Solve for x
    x = 680,545,802,304/377,472
  6. Step 6: Final answer
    x = 1,802,904.06

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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.