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Finding the Third Proportional to 292,065 and 441,994.50

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Solution

The third proportional to 292,065 and 441,994.50 is: 668,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,065 : 441,994.50 = 441,994.50 : x
  2. Step 2: Convert to fraction form
    292,065/441,994.50 = 441,994.50/x
  3. Step 3: Cross multiply
    292,065x = 441,994.50 × 441,994.50
  4. Step 4: Simplify right side
    292,065x = 195,359,138,030.25
  5. Step 5: Solve for x
    x = 195,359,138,030.25/292,065
  6. Step 6: Final answer
    x = 668,889.25

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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.