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Finding the Third Proportional to 610,540.88 and 897,530.63

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Solution

The third proportional to 610,540.88 and 897,530.63 is: 1,319,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,540.88 : 897,530.63 = 897,530.63 : x
  2. Step 2: Convert to fraction form
    610,540.88/897,530.63 = 897,530.63/x
  3. Step 3: Cross multiply
    610,540.88x = 897,530.63 × 897,530.63
  4. Step 4: Simplify right side
    610,540.88x = 805,561,222,812.89
  5. Step 5: Solve for x
    x = 805,561,222,812.89/610,540.88
  6. Step 6: Final answer
    x = 1,319,422.26

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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.