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Finding the Third Proportional to 374,908.50 and 549,015.75

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Solution

The third proportional to 374,908.50 and 549,015.75 is: 803,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,908.50 : 549,015.75 = 549,015.75 : x
  2. Step 2: Convert to fraction form
    374,908.50/549,015.75 = 549,015.75/x
  3. Step 3: Cross multiply
    374,908.50x = 549,015.75 × 549,015.75
  4. Step 4: Simplify right side
    374,908.50x = 301,418,293,748.06
  5. Step 5: Solve for x
    x = 301,418,293,748.06/374,908.50
  6. Step 6: Final answer
    x = 803,978.29

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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.