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Finding the Third Proportional to 705,467 and 1,064,561.50

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Solution

The third proportional to 705,467 and 1,064,561.50 is: 1,606,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,467 : 1,064,561.50 = 1,064,561.50 : x
  2. Step 2: Convert to fraction form
    705,467/1,064,561.50 = 1,064,561.50/x
  3. Step 3: Cross multiply
    705,467x = 1,064,561.50 × 1,064,561.50
  4. Step 4: Simplify right side
    705,467x = 1,133,291,187,282.25
  5. Step 5: Solve for x
    x = 1,133,291,187,282.25/705,467
  6. Step 6: Final answer
    x = 1,606,441.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.