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Finding the Third Proportional to 507,125.25 and 725,141.25

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Solution

The third proportional to 507,125.25 and 725,141.25 is: 1,036,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,125.25 : 725,141.25 = 725,141.25 : x
  2. Step 2: Convert to fraction form
    507,125.25/725,141.25 = 725,141.25/x
  3. Step 3: Cross multiply
    507,125.25x = 725,141.25 × 725,141.25
  4. Step 4: Simplify right side
    507,125.25x = 525,829,832,451.56
  5. Step 5: Solve for x
    x = 525,829,832,451.56/507,125.25
  6. Step 6: Final answer
    x = 1,036,883.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.