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Finding the Third Proportional to 569,952.50 and 889,435

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Solution

The third proportional to 569,952.50 and 889,435 is: 1,388,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,952.50 : 889,435 = 889,435 : x
  2. Step 2: Convert to fraction form
    569,952.50/889,435 = 889,435/x
  3. Step 3: Cross multiply
    569,952.50x = 889,435 × 889,435
  4. Step 4: Simplify right side
    569,952.50x = 791,094,619,225
  5. Step 5: Solve for x
    x = 791,094,619,225/569,952.50
  6. Step 6: Final answer
    x = 1,388,000.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.