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Finding the Third Proportional to 610,526.25 and 897,496.88

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Solution

The third proportional to 610,526.25 and 897,496.88 is: 1,319,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,526.25 : 897,496.88 = 897,496.88 : x
  2. Step 2: Convert to fraction form
    610,526.25/897,496.88 = 897,496.88/x
  3. Step 3: Cross multiply
    610,526.25x = 897,496.88 × 897,496.88
  4. Step 4: Simplify right side
    610,526.25x = 805,500,640,634.77
  5. Step 5: Solve for x
    x = 805,500,640,634.77/610,526.25
  6. Step 6: Final answer
    x = 1,319,354.64

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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.