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Finding the Third Proportional to 375,900 and 549,738

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Solution

The third proportional to 375,900 and 549,738 is: 803,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,900 : 549,738 = 549,738 : x
  2. Step 2: Convert to fraction form
    375,900/549,738 = 549,738/x
  3. Step 3: Cross multiply
    375,900x = 549,738 × 549,738
  4. Step 4: Simplify right side
    375,900x = 302,211,868,644
  5. Step 5: Solve for x
    x = 302,211,868,644/375,900
  6. Step 6: Final answer
    x = 803,968.79

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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.