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Finding the Third Proportional to 375,640 and 822,448

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Solution

The third proportional to 375,640 and 822,448 is: 1,800,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,640 : 822,448 = 822,448 : x
  2. Step 2: Convert to fraction form
    375,640/822,448 = 822,448/x
  3. Step 3: Cross multiply
    375,640x = 822,448 × 822,448
  4. Step 4: Simplify right side
    375,640x = 676,420,712,704
  5. Step 5: Solve for x
    x = 676,420,712,704/375,640
  6. Step 6: Final answer
    x = 1,800,715.35

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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.