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Finding the Third Proportional to 542,852 and 798,472.50

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Solution

The third proportional to 542,852 and 798,472.50 is: 1,174,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,852 : 798,472.50 = 798,472.50 : x
  2. Step 2: Convert to fraction form
    542,852/798,472.50 = 798,472.50/x
  3. Step 3: Cross multiply
    542,852x = 798,472.50 × 798,472.50
  4. Step 4: Simplify right side
    542,852x = 637,558,333,256.25
  5. Step 5: Solve for x
    x = 637,558,333,256.25/542,852
  6. Step 6: Final answer
    x = 1,174,460.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.