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Finding the Third Proportional to 485,532 and 735,046

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Solution

The third proportional to 485,532 and 735,046 is: 1,112,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,532 : 735,046 = 735,046 : x
  2. Step 2: Convert to fraction form
    485,532/735,046 = 735,046/x
  3. Step 3: Cross multiply
    485,532x = 735,046 × 735,046
  4. Step 4: Simplify right side
    485,532x = 540,292,622,116
  5. Step 5: Solve for x
    x = 540,292,622,116/485,532
  6. Step 6: Final answer
    x = 1,112,784.78

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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.