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Finding the Third Proportional to 365,577 and 545,310

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Solution

The third proportional to 365,577 and 545,310 is: 813,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,577 : 545,310 = 545,310 : x
  2. Step 2: Convert to fraction form
    365,577/545,310 = 545,310/x
  3. Step 3: Cross multiply
    365,577x = 545,310 × 545,310
  4. Step 4: Simplify right side
    365,577x = 297,362,996,100
  5. Step 5: Solve for x
    x = 297,362,996,100/365,577
  6. Step 6: Final answer
    x = 813,407.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.