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Finding the Third Proportional to 366,748 and 795,272

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Solution

The third proportional to 366,748 and 795,272 is: 1,724,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,748 : 795,272 = 795,272 : x
  2. Step 2: Convert to fraction form
    366,748/795,272 = 795,272/x
  3. Step 3: Cross multiply
    366,748x = 795,272 × 795,272
  4. Step 4: Simplify right side
    366,748x = 632,457,553,984
  5. Step 5: Solve for x
    x = 632,457,553,984/366,748
  6. Step 6: Final answer
    x = 1,724,501.71

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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.