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Finding the Third Proportional to 363,840.75 and 572,492.25

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Solution

The third proportional to 363,840.75 and 572,492.25 is: 900,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,840.75 : 572,492.25 = 572,492.25 : x
  2. Step 2: Convert to fraction form
    363,840.75/572,492.25 = 572,492.25/x
  3. Step 3: Cross multiply
    363,840.75x = 572,492.25 × 572,492.25
  4. Step 4: Simplify right side
    363,840.75x = 327,747,376,310.06
  5. Step 5: Solve for x
    x = 327,747,376,310.06/363,840.75
  6. Step 6: Final answer
    x = 900,798.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.