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Finding the Third Proportional to 507,034.50 and 758,972.25

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Solution

The third proportional to 507,034.50 and 758,972.25 is: 1,136,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,034.50 : 758,972.25 = 758,972.25 : x
  2. Step 2: Convert to fraction form
    507,034.50/758,972.25 = 758,972.25/x
  3. Step 3: Cross multiply
    507,034.50x = 758,972.25 × 758,972.25
  4. Step 4: Simplify right side
    507,034.50x = 576,038,876,270.06
  5. Step 5: Solve for x
    x = 576,038,876,270.06/507,034.50
  6. Step 6: Final answer
    x = 1,136,094.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.