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Finding the Third Proportional to 610,537.50 and 897,512.91

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Solution

The third proportional to 610,537.50 and 897,512.91 is: 1,319,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,537.50 : 897,512.91 = 897,512.91 : x
  2. Step 2: Convert to fraction form
    610,537.50/897,512.91 = 897,512.91/x
  3. Step 3: Cross multiply
    610,537.50x = 897,512.91 × 897,512.91
  4. Step 4: Simplify right side
    610,537.50x = 805,529,416,885.32
  5. Step 5: Solve for x
    x = 805,529,416,885.32/610,537.50
  6. Step 6: Final answer
    x = 1,319,377.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.