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Finding the Third Proportional to 356,112 and 510,118

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Solution

The third proportional to 356,112 and 510,118 is: 730,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,112 : 510,118 = 510,118 : x
  2. Step 2: Convert to fraction form
    356,112/510,118 = 510,118/x
  3. Step 3: Cross multiply
    356,112x = 510,118 × 510,118
  4. Step 4: Simplify right side
    356,112x = 260,220,373,924
  5. Step 5: Solve for x
    x = 260,220,373,924/356,112
  6. Step 6: Final answer
    x = 730,726.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.