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Finding the Third Proportional to 376,128 and 549,778.50

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Solution

The third proportional to 376,128 and 549,778.50 is: 803,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,128 : 549,778.50 = 549,778.50 : x
  2. Step 2: Convert to fraction form
    376,128/549,778.50 = 549,778.50/x
  3. Step 3: Cross multiply
    376,128x = 549,778.50 × 549,778.50
  4. Step 4: Simplify right side
    376,128x = 302,256,399,062.25
  5. Step 5: Solve for x
    x = 302,256,399,062.25/376,128
  6. Step 6: Final answer
    x = 803,599.84

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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.