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Finding the Third Proportional to 372,670 and 804,354

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Solution

The third proportional to 372,670 and 804,354 is: 1,736,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,670 : 804,354 = 804,354 : x
  2. Step 2: Convert to fraction form
    372,670/804,354 = 804,354/x
  3. Step 3: Cross multiply
    372,670x = 804,354 × 804,354
  4. Step 4: Simplify right side
    372,670x = 646,985,357,316
  5. Step 5: Solve for x
    x = 646,985,357,316/372,670
  6. Step 6: Final answer
    x = 1,736,081.14

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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.