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Finding the Third Proportional to 372,664 and 804,342

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Solution

The third proportional to 372,664 and 804,342 is: 1,736,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,664 : 804,342 = 804,342 : x
  2. Step 2: Convert to fraction form
    372,664/804,342 = 804,342/x
  3. Step 3: Cross multiply
    372,664x = 804,342 × 804,342
  4. Step 4: Simplify right side
    372,664x = 646,966,052,964
  5. Step 5: Solve for x
    x = 646,966,052,964/372,664
  6. Step 6: Final answer
    x = 1,736,057.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.