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Finding the Third Proportional to 335,466 and 507,561

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Solution

The third proportional to 335,466 and 507,561 is: 767,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,466 : 507,561 = 507,561 : x
  2. Step 2: Convert to fraction form
    335,466/507,561 = 507,561/x
  3. Step 3: Cross multiply
    335,466x = 507,561 × 507,561
  4. Step 4: Simplify right side
    335,466x = 257,618,168,721
  5. Step 5: Solve for x
    x = 257,618,168,721/335,466
  6. Step 6: Final answer
    x = 767,941.22

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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.