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Finding the Third Proportional to 356,925 and 525,519

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Solution

The third proportional to 356,925 and 525,519 is: 773,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,925 : 525,519 = 525,519 : x
  2. Step 2: Convert to fraction form
    356,925/525,519 = 525,519/x
  3. Step 3: Cross multiply
    356,925x = 525,519 × 525,519
  4. Step 4: Simplify right side
    356,925x = 276,170,219,361
  5. Step 5: Solve for x
    x = 276,170,219,361/356,925
  6. Step 6: Final answer
    x = 773,748.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.