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Finding the Third Proportional to 364,904.37 and 561,196.16

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Solution

The third proportional to 364,904.37 and 561,196.16 is: 863,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,904.37 : 561,196.16 = 561,196.16 : x
  2. Step 2: Convert to fraction form
    364,904.37/561,196.16 = 561,196.16/x
  3. Step 3: Cross multiply
    364,904.37x = 561,196.16 × 561,196.16
  4. Step 4: Simplify right side
    364,904.37x = 314,941,130,174.12
  5. Step 5: Solve for x
    x = 314,941,130,174.12/364,904.37
  6. Step 6: Final answer
    x = 863,078.54

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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.