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Finding the Third Proportional to 485,632 and 735,224

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Solution

The third proportional to 485,632 and 735,224 is: 1,113,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,632 : 735,224 = 735,224 : x
  2. Step 2: Convert to fraction form
    485,632/735,224 = 735,224/x
  3. Step 3: Cross multiply
    485,632x = 735,224 × 735,224
  4. Step 4: Simplify right side
    485,632x = 540,554,330,176
  5. Step 5: Solve for x
    x = 540,554,330,176/485,632
  6. Step 6: Final answer
    x = 1,113,094.55

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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.