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Finding the Third Proportional to 375,487.50 and 581,056.50

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Solution

The third proportional to 375,487.50 and 581,056.50 is: 899,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,487.50 : 581,056.50 = 581,056.50 : x
  2. Step 2: Convert to fraction form
    375,487.50/581,056.50 = 581,056.50/x
  3. Step 3: Cross multiply
    375,487.50x = 581,056.50 × 581,056.50
  4. Step 4: Simplify right side
    375,487.50x = 337,626,656,192.25
  5. Step 5: Solve for x
    x = 337,626,656,192.25/375,487.50
  6. Step 6: Final answer
    x = 899,168.83

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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.