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Finding the Third Proportional to 297,964 and 651,632

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Solution

The third proportional to 297,964 and 651,632 is: 1,425,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,964 : 651,632 = 651,632 : x
  2. Step 2: Convert to fraction form
    297,964/651,632 = 651,632/x
  3. Step 3: Cross multiply
    297,964x = 651,632 × 651,632
  4. Step 4: Simplify right side
    297,964x = 424,624,263,424
  5. Step 5: Solve for x
    x = 424,624,263,424/297,964
  6. Step 6: Final answer
    x = 1,425,085.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.