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Finding the Third Proportional to 363,097 and 559,957.50

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Solution

The third proportional to 363,097 and 559,957.50 is: 863,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,097 : 559,957.50 = 559,957.50 : x
  2. Step 2: Convert to fraction form
    363,097/559,957.50 = 559,957.50/x
  3. Step 3: Cross multiply
    363,097x = 559,957.50 × 559,957.50
  4. Step 4: Simplify right side
    363,097x = 313,552,401,806.25
  5. Step 5: Solve for x
    x = 313,552,401,806.25/363,097
  6. Step 6: Final answer
    x = 863,549.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.