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Finding the Third Proportional to 296,073 and 439,006.50

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Solution

The third proportional to 296,073 and 439,006.50 is: 650,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,073 : 439,006.50 = 439,006.50 : x
  2. Step 2: Convert to fraction form
    296,073/439,006.50 = 439,006.50/x
  3. Step 3: Cross multiply
    296,073x = 439,006.50 × 439,006.50
  4. Step 4: Simplify right side
    296,073x = 192,726,707,042.25
  5. Step 5: Solve for x
    x = 192,726,707,042.25/296,073
  6. Step 6: Final answer
    x = 650,943.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.