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Finding the Third Proportional to 552,672 and 845,046

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Solution

The third proportional to 552,672 and 845,046 is: 1,292,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,672 : 845,046 = 845,046 : x
  2. Step 2: Convert to fraction form
    552,672/845,046 = 845,046/x
  3. Step 3: Cross multiply
    552,672x = 845,046 × 845,046
  4. Step 4: Simplify right side
    552,672x = 714,102,742,116
  5. Step 5: Solve for x
    x = 714,102,742,116/552,672
  6. Step 6: Final answer
    x = 1,292,091.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.