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Finding the Third Proportional to 294,033 and 637,854

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Solution

The third proportional to 294,033 and 637,854 is: 1,383,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,033 : 637,854 = 637,854 : x
  2. Step 2: Convert to fraction form
    294,033/637,854 = 637,854/x
  3. Step 3: Cross multiply
    294,033x = 637,854 × 637,854
  4. Step 4: Simplify right side
    294,033x = 406,857,725,316
  5. Step 5: Solve for x
    x = 406,857,725,316/294,033
  6. Step 6: Final answer
    x = 1,383,714.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.