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Finding the Third Proportional to 296,010 and 651,069

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Solution

The third proportional to 296,010 and 651,069 is: 1,432,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,010 : 651,069 = 651,069 : x
  2. Step 2: Convert to fraction form
    296,010/651,069 = 651,069/x
  3. Step 3: Cross multiply
    296,010x = 651,069 × 651,069
  4. Step 4: Simplify right side
    296,010x = 423,890,842,761
  5. Step 5: Solve for x
    x = 423,890,842,761/296,010
  6. Step 6: Final answer
    x = 1,432,015.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.