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Finding the Third Proportional to 507,127.50 and 725,145

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Solution

The third proportional to 507,127.50 and 725,145 is: 1,036,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,127.50 : 725,145 = 725,145 : x
  2. Step 2: Convert to fraction form
    507,127.50/725,145 = 725,145/x
  3. Step 3: Cross multiply
    507,127.50x = 725,145 × 725,145
  4. Step 4: Simplify right side
    507,127.50x = 525,835,271,025
  5. Step 5: Solve for x
    x = 525,835,271,025/507,127.50
  6. Step 6: Final answer
    x = 1,036,889.68

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