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Finding the Third Proportional to 335,472 and 507,570

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Solution

The third proportional to 335,472 and 507,570 is: 767,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,472 : 507,570 = 507,570 : x
  2. Step 2: Convert to fraction form
    335,472/507,570 = 507,570/x
  3. Step 3: Cross multiply
    335,472x = 507,570 × 507,570
  4. Step 4: Simplify right side
    335,472x = 257,627,304,900
  5. Step 5: Solve for x
    x = 257,627,304,900/335,472
  6. Step 6: Final answer
    x = 767,954.72

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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.