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Finding the Third Proportional to 369,319.50 and 567,094.50

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Solution

The third proportional to 369,319.50 and 567,094.50 is: 870,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,319.50 : 567,094.50 = 567,094.50 : x
  2. Step 2: Convert to fraction form
    369,319.50/567,094.50 = 567,094.50/x
  3. Step 3: Cross multiply
    369,319.50x = 567,094.50 × 567,094.50
  4. Step 4: Simplify right side
    369,319.50x = 321,596,171,930.25
  5. Step 5: Solve for x
    x = 321,596,171,930.25/369,319.50
  6. Step 6: Final answer
    x = 870,780.37

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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.