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Finding the Third Proportional to 528,815.53 and 805,616.30

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Solution

The third proportional to 528,815.53 and 805,616.30 is: 1,227,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,815.53 : 805,616.30 = 805,616.30 : x
  2. Step 2: Convert to fraction form
    528,815.53/805,616.30 = 805,616.30/x
  3. Step 3: Cross multiply
    528,815.53x = 805,616.30 × 805,616.30
  4. Step 4: Simplify right side
    528,815.53x = 649,017,617,790.59
  5. Step 5: Solve for x
    x = 649,017,617,790.59/528,815.53
  6. Step 6: Final answer
    x = 1,227,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.