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Finding the Third Proportional to 507,084.75 and 759,044.25

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Solution

The third proportional to 507,084.75 and 759,044.25 is: 1,136,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,084.75 : 759,044.25 = 759,044.25 : x
  2. Step 2: Convert to fraction form
    507,084.75/759,044.25 = 759,044.25/x
  3. Step 3: Cross multiply
    507,084.75x = 759,044.25 × 759,044.25
  4. Step 4: Simplify right side
    507,084.75x = 576,148,173,458.06
  5. Step 5: Solve for x
    x = 576,148,173,458.06/507,084.75
  6. Step 6: Final answer
    x = 1,136,197.00

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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.