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Finding the Third Proportional to 296,875.50 and 647,034

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Solution

The third proportional to 296,875.50 and 647,034 is: 1,410,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,875.50 : 647,034 = 647,034 : x
  2. Step 2: Convert to fraction form
    296,875.50/647,034 = 647,034/x
  3. Step 3: Cross multiply
    296,875.50x = 647,034 × 647,034
  4. Step 4: Simplify right side
    296,875.50x = 418,652,997,156
  5. Step 5: Solve for x
    x = 418,652,997,156/296,875.50
  6. Step 6: Final answer
    x = 1,410,197.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.