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Finding the Third Proportional to 329,260 and 507,572

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Solution

The third proportional to 329,260 and 507,572 is: 782,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,260 : 507,572 = 507,572 : x
  2. Step 2: Convert to fraction form
    329,260/507,572 = 507,572/x
  3. Step 3: Cross multiply
    329,260x = 507,572 × 507,572
  4. Step 4: Simplify right side
    329,260x = 257,629,335,184
  5. Step 5: Solve for x
    x = 257,629,335,184/329,260
  6. Step 6: Final answer
    x = 782,449.54

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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.