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Finding the Third Proportional to 431,535 and 660,442.50

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Solution

The third proportional to 431,535 and 660,442.50 is: 1,010,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,535 : 660,442.50 = 660,442.50 : x
  2. Step 2: Convert to fraction form
    431,535/660,442.50 = 660,442.50/x
  3. Step 3: Cross multiply
    431,535x = 660,442.50 × 660,442.50
  4. Step 4: Simplify right side
    431,535x = 436,184,295,806.25
  5. Step 5: Solve for x
    x = 436,184,295,806.25/431,535
  6. Step 6: Final answer
    x = 1,010,773.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.