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Finding the Third Proportional to 581,998.63 and 897,916.25

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Solution

The third proportional to 581,998.63 and 897,916.25 is: 1,385,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,998.63 : 897,916.25 = 897,916.25 : x
  2. Step 2: Convert to fraction form
    581,998.63/897,916.25 = 897,916.25/x
  3. Step 3: Cross multiply
    581,998.63x = 897,916.25 × 897,916.25
  4. Step 4: Simplify right side
    581,998.63x = 806,253,592,014.06
  5. Step 5: Solve for x
    x = 806,253,592,014.06/581,998.63
  6. Step 6: Final answer
    x = 1,385,318.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.