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Finding the Third Proportional to 507,817.31 and 743,036.25

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Solution

The third proportional to 507,817.31 and 743,036.25 is: 1,087,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,817.31 : 743,036.25 = 743,036.25 : x
  2. Step 2: Convert to fraction form
    507,817.31/743,036.25 = 743,036.25/x
  3. Step 3: Cross multiply
    507,817.31x = 743,036.25 × 743,036.25
  4. Step 4: Simplify right side
    507,817.31x = 552,102,868,814.06
  5. Step 5: Solve for x
    x = 552,102,868,814.06/507,817.31
  6. Step 6: Final answer
    x = 1,087,207.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.