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Finding the Third Proportional to 609,543 and 896,638.50

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Solution

The third proportional to 609,543 and 896,638.50 is: 1,318,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,543 : 896,638.50 = 896,638.50 : x
  2. Step 2: Convert to fraction form
    609,543/896,638.50 = 896,638.50/x
  3. Step 3: Cross multiply
    609,543x = 896,638.50 × 896,638.50
  4. Step 4: Simplify right side
    609,543x = 803,960,599,682.25
  5. Step 5: Solve for x
    x = 803,960,599,682.25/609,543
  6. Step 6: Final answer
    x = 1,318,956.33

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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.