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Finding the Third Proportional to 335,320 and 507,314

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Solution

The third proportional to 335,320 and 507,314 is: 767,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,320 : 507,314 = 507,314 : x
  2. Step 2: Convert to fraction form
    335,320/507,314 = 507,314/x
  3. Step 3: Cross multiply
    335,320x = 507,314 × 507,314
  4. Step 4: Simplify right side
    335,320x = 257,367,494,596
  5. Step 5: Solve for x
    x = 257,367,494,596/335,320
  6. Step 6: Final answer
    x = 767,528.02

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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.