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Finding the Third Proportional to 542,106 and 724,464

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Solution

The third proportional to 542,106 and 724,464 is: 968,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,106 : 724,464 = 724,464 : x
  2. Step 2: Convert to fraction form
    542,106/724,464 = 724,464/x
  3. Step 3: Cross multiply
    542,106x = 724,464 × 724,464
  4. Step 4: Simplify right side
    542,106x = 524,848,087,296
  5. Step 5: Solve for x
    x = 524,848,087,296/542,106
  6. Step 6: Final answer
    x = 968,165.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.