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Finding the Third Proportional to 364,904.37 and 581,084.19

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Solution

The third proportional to 364,904.37 and 581,084.19 is: 925,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,904.37 : 581,084.19 = 581,084.19 : x
  2. Step 2: Convert to fraction form
    364,904.37/581,084.19 = 581,084.19/x
  3. Step 3: Cross multiply
    364,904.37x = 581,084.19 × 581,084.19
  4. Step 4: Simplify right side
    364,904.37x = 337,658,837,502.26
  5. Step 5: Solve for x
    x = 337,658,837,502.26/364,904.37
  6. Step 6: Final answer
    x = 925,335.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.