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Finding the Third Proportional to 507,925.69 and 677,463.75

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Solution

The third proportional to 507,925.69 and 677,463.75 is: 903,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,925.69 : 677,463.75 = 677,463.75 : x
  2. Step 2: Convert to fraction form
    507,925.69/677,463.75 = 677,463.75/x
  3. Step 3: Cross multiply
    507,925.69x = 677,463.75 × 677,463.75
  4. Step 4: Simplify right side
    507,925.69x = 458,957,132,564.06
  5. Step 5: Solve for x
    x = 458,957,132,564.06/507,925.69
  6. Step 6: Final answer
    x = 903,591.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.