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Finding the Third Proportional to 415,546.50 and 896,703

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Solution

The third proportional to 415,546.50 and 896,703 is: 1,934,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,546.50 : 896,703 = 896,703 : x
  2. Step 2: Convert to fraction form
    415,546.50/896,703 = 896,703/x
  3. Step 3: Cross multiply
    415,546.50x = 896,703 × 896,703
  4. Step 4: Simplify right side
    415,546.50x = 804,076,270,209
  5. Step 5: Solve for x
    x = 804,076,270,209/415,546.50
  6. Step 6: Final answer
    x = 1,934,985.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.