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Finding the Third Proportional to 375,904 and 549,744

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Solution

The third proportional to 375,904 and 549,744 is: 803,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,904 : 549,744 = 549,744 : x
  2. Step 2: Convert to fraction form
    375,904/549,744 = 549,744/x
  3. Step 3: Cross multiply
    375,904x = 549,744 × 549,744
  4. Step 4: Simplify right side
    375,904x = 302,218,465,536
  5. Step 5: Solve for x
    x = 302,218,465,536/375,904
  6. Step 6: Final answer
    x = 803,977.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.