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Finding the Third Proportional to 563,938.45 and 925,767.35

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Solution

The third proportional to 563,938.45 and 925,767.35 is: 1,519,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,938.45 : 925,767.35 = 925,767.35 : x
  2. Step 2: Convert to fraction form
    563,938.45/925,767.35 = 925,767.35/x
  3. Step 3: Cross multiply
    563,938.45x = 925,767.35 × 925,767.35
  4. Step 4: Simplify right side
    563,938.45x = 857,045,189,219.05
  5. Step 5: Solve for x
    x = 857,045,189,219.05/563,938.45
  6. Step 6: Final answer
    x = 1,519,749.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.