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Finding the Third Proportional to 373,620 and 564,312

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Solution

The third proportional to 373,620 and 564,312 is: 852,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,620 : 564,312 = 564,312 : x
  2. Step 2: Convert to fraction form
    373,620/564,312 = 564,312/x
  3. Step 3: Cross multiply
    373,620x = 564,312 × 564,312
  4. Step 4: Simplify right side
    373,620x = 318,448,033,344
  5. Step 5: Solve for x
    x = 318,448,033,344/373,620
  6. Step 6: Final answer
    x = 852,331.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.