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Finding the Third Proportional to 473,745.19 and 728,915.53

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Solution

The third proportional to 473,745.19 and 728,915.53 is: 1,121,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,745.19 : 728,915.53 = 728,915.53 : x
  2. Step 2: Convert to fraction form
    473,745.19/728,915.53 = 728,915.53/x
  3. Step 3: Cross multiply
    473,745.19x = 728,915.53 × 728,915.53
  4. Step 4: Simplify right side
    473,745.19x = 531,317,851,697.47
  5. Step 5: Solve for x
    x = 531,317,851,697.47/473,745.19
  6. Step 6: Final answer
    x = 1,121,526.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.