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Finding the Third Proportional to 601,116 and 929,526

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Solution

The third proportional to 601,116 and 929,526 is: 1,437,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,116 : 929,526 = 929,526 : x
  2. Step 2: Convert to fraction form
    601,116/929,526 = 929,526/x
  3. Step 3: Cross multiply
    601,116x = 929,526 × 929,526
  4. Step 4: Simplify right side
    601,116x = 864,018,584,676
  5. Step 5: Solve for x
    x = 864,018,584,676/601,116
  6. Step 6: Final answer
    x = 1,437,357.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.