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Finding the Third Proportional to 377,382 and 824,748

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Solution

The third proportional to 377,382 and 824,748 is: 1,802,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,382 : 824,748 = 824,748 : x
  2. Step 2: Convert to fraction form
    377,382/824,748 = 824,748/x
  3. Step 3: Cross multiply
    377,382x = 824,748 × 824,748
  4. Step 4: Simplify right side
    377,382x = 680,209,263,504
  5. Step 5: Solve for x
    x = 680,209,263,504/377,382
  6. Step 6: Final answer
    x = 1,802,442.26

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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.