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Finding the Third Proportional to 292,935 and 439,404

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Solution

The third proportional to 292,935 and 439,404 is: 659,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,935 : 439,404 = 439,404 : x
  2. Step 2: Convert to fraction form
    292,935/439,404 = 439,404/x
  3. Step 3: Cross multiply
    292,935x = 439,404 × 439,404
  4. Step 4: Simplify right side
    292,935x = 193,075,875,216
  5. Step 5: Solve for x
    x = 193,075,875,216/292,935
  6. Step 6: Final answer
    x = 659,108.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.