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Finding the Third Proportional to 372,769 and 804,560

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Solution

The third proportional to 372,769 and 804,560 is: 1,736,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,769 : 804,560 = 804,560 : x
  2. Step 2: Convert to fraction form
    372,769/804,560 = 804,560/x
  3. Step 3: Cross multiply
    372,769x = 804,560 × 804,560
  4. Step 4: Simplify right side
    372,769x = 647,316,793,600
  5. Step 5: Solve for x
    x = 647,316,793,600/372,769
  6. Step 6: Final answer
    x = 1,736,509.19

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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.