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Finding the Third Proportional to 353,457 and 529,030

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Solution

The third proportional to 353,457 and 529,030 is: 791,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,457 : 529,030 = 529,030 : x
  2. Step 2: Convert to fraction form
    353,457/529,030 = 529,030/x
  3. Step 3: Cross multiply
    353,457x = 529,030 × 529,030
  4. Step 4: Simplify right side
    353,457x = 279,872,740,900
  5. Step 5: Solve for x
    x = 279,872,740,900/353,457
  6. Step 6: Final answer
    x = 791,815.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.