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Finding the Third Proportional to 375,475.50 and 581,438.25

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Solution

The third proportional to 375,475.50 and 581,438.25 is: 900,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,475.50 : 581,438.25 = 581,438.25 : x
  2. Step 2: Convert to fraction form
    375,475.50/581,438.25 = 581,438.25/x
  3. Step 3: Cross multiply
    375,475.50x = 581,438.25 × 581,438.25
  4. Step 4: Simplify right side
    375,475.50x = 338,070,438,563.06
  5. Step 5: Solve for x
    x = 338,070,438,563.06/375,475.50
  6. Step 6: Final answer
    x = 900,379.49

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