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Finding the Third Proportional to 368,438.63 and 585,862.88

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Solution

The third proportional to 368,438.63 and 585,862.88 is: 931,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,438.63 : 585,862.88 = 585,862.88 : x
  2. Step 2: Convert to fraction form
    368,438.63/585,862.88 = 585,862.88/x
  3. Step 3: Cross multiply
    368,438.63x = 585,862.88 × 585,862.88
  4. Step 4: Simplify right side
    368,438.63x = 343,235,308,303.27
  5. Step 5: Solve for x
    x = 343,235,308,303.27/368,438.63
  6. Step 6: Final answer
    x = 931,594.26

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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.