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Finding the Third Proportional to 523,261.69 and 710,140.50

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Solution

The third proportional to 523,261.69 and 710,140.50 is: 963,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,261.69 : 710,140.50 = 710,140.50 : x
  2. Step 2: Convert to fraction form
    523,261.69/710,140.50 = 710,140.50/x
  3. Step 3: Cross multiply
    523,261.69x = 710,140.50 × 710,140.50
  4. Step 4: Simplify right side
    523,261.69x = 504,299,529,740.25
  5. Step 5: Solve for x
    x = 504,299,529,740.25/523,261.69
  6. Step 6: Final answer
    x = 963,761.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.