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Finding the Third Proportional to 507,801.38 and 788,817.38

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Solution

The third proportional to 507,801.38 and 788,817.38 is: 1,225,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,801.38 : 788,817.38 = 788,817.38 : x
  2. Step 2: Convert to fraction form
    507,801.38/788,817.38 = 788,817.38/x
  3. Step 3: Cross multiply
    507,801.38x = 788,817.38 × 788,817.38
  4. Step 4: Simplify right side
    507,801.38x = 622,232,851,101.89
  5. Step 5: Solve for x
    x = 622,232,851,101.89/507,801.38
  6. Step 6: Final answer
    x = 1,225,346.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.