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Finding the Third Proportional to 523,270.50 and 710,154

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Solution

The third proportional to 523,270.50 and 710,154 is: 963,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,270.50 : 710,154 = 710,154 : x
  2. Step 2: Convert to fraction form
    523,270.50/710,154 = 710,154/x
  3. Step 3: Cross multiply
    523,270.50x = 710,154 × 710,154
  4. Step 4: Simplify right side
    523,270.50x = 504,318,703,716
  5. Step 5: Solve for x
    x = 504,318,703,716/523,270.50
  6. Step 6: Final answer
    x = 963,782.03

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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.