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Finding the Third Proportional to 375,425.25 and 581,140.50

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Solution

The third proportional to 375,425.25 and 581,140.50 is: 899,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,425.25 : 581,140.50 = 581,140.50 : x
  2. Step 2: Convert to fraction form
    375,425.25/581,140.50 = 581,140.50/x
  3. Step 3: Cross multiply
    375,425.25x = 581,140.50 × 581,140.50
  4. Step 4: Simplify right side
    375,425.25x = 337,724,280,740.25
  5. Step 5: Solve for x
    x = 337,724,280,740.25/375,425.25
  6. Step 6: Final answer
    x = 899,577.96

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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.