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Finding the Third Proportional to 335,306 and 507,293

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Solution

The third proportional to 335,306 and 507,293 is: 767,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,306 : 507,293 = 507,293 : x
  2. Step 2: Convert to fraction form
    335,306/507,293 = 507,293/x
  3. Step 3: Cross multiply
    335,306x = 507,293 × 507,293
  4. Step 4: Simplify right side
    335,306x = 257,346,187,849
  5. Step 5: Solve for x
    x = 257,346,187,849/335,306
  6. Step 6: Final answer
    x = 767,496.52

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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.