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Finding the Third Proportional to 546,347.25 and 829,362.38

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Solution

The third proportional to 546,347.25 and 829,362.38 is: 1,258,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,347.25 : 829,362.38 = 829,362.38 : x
  2. Step 2: Convert to fraction form
    546,347.25/829,362.38 = 829,362.38/x
  3. Step 3: Cross multiply
    546,347.25x = 829,362.38 × 829,362.38
  4. Step 4: Simplify right side
    546,347.25x = 687,841,949,065.64
  5. Step 5: Solve for x
    x = 687,841,949,065.64/546,347.25
  6. Step 6: Final answer
    x = 1,258,983.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.