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Finding the Third Proportional to 296,076 and 439,011

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Solution

The third proportional to 296,076 and 439,011 is: 650,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,076 : 439,011 = 439,011 : x
  2. Step 2: Convert to fraction form
    296,076/439,011 = 439,011/x
  3. Step 3: Cross multiply
    296,076x = 439,011 × 439,011
  4. Step 4: Simplify right side
    296,076x = 192,730,658,121
  5. Step 5: Solve for x
    x = 192,730,658,121/296,076
  6. Step 6: Final answer
    x = 650,949.95

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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.