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Finding the Third Proportional to 349,058 and 536,835

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Solution

The third proportional to 349,058 and 536,835 is: 825,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,058 : 536,835 = 536,835 : x
  2. Step 2: Convert to fraction form
    349,058/536,835 = 536,835/x
  3. Step 3: Cross multiply
    349,058x = 536,835 × 536,835
  4. Step 4: Simplify right side
    349,058x = 288,191,817,225
  5. Step 5: Solve for x
    x = 288,191,817,225/349,058
  6. Step 6: Final answer
    x = 825,627.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.