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Finding the Third Proportional to 384,068.25 and 581,407.88

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Solution

The third proportional to 384,068.25 and 581,407.88 is: 880,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,068.25 : 581,407.88 = 581,407.88 : x
  2. Step 2: Convert to fraction form
    384,068.25/581,407.88 = 581,407.88/x
  3. Step 3: Cross multiply
    384,068.25x = 581,407.88 × 581,407.88
  4. Step 4: Simplify right side
    384,068.25x = 338,035,117,112.02
  5. Step 5: Solve for x
    x = 338,035,117,112.02/384,068.25
  6. Step 6: Final answer
    x = 880,143.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.