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Finding the Third Proportional to 372,666 and 804,346

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Solution

The third proportional to 372,666 and 804,346 is: 1,736,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,666 : 804,346 = 804,346 : x
  2. Step 2: Convert to fraction form
    372,666/804,346 = 804,346/x
  3. Step 3: Cross multiply
    372,666x = 804,346 × 804,346
  4. Step 4: Simplify right side
    372,666x = 646,972,487,716
  5. Step 5: Solve for x
    x = 646,972,487,716/372,666
  6. Step 6: Final answer
    x = 1,736,065.24

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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.