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Finding the Third Proportional to 356,004 and 475,555.50

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Solution

The third proportional to 356,004 and 475,555.50 is: 635,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,004 : 475,555.50 = 475,555.50 : x
  2. Step 2: Convert to fraction form
    356,004/475,555.50 = 475,555.50/x
  3. Step 3: Cross multiply
    356,004x = 475,555.50 × 475,555.50
  4. Step 4: Simplify right side
    356,004x = 226,153,033,580.25
  5. Step 5: Solve for x
    x = 226,153,033,580.25/356,004
  6. Step 6: Final answer
    x = 635,254.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.