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Finding the Third Proportional to 710,232.75 and 1,066,171.50

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Solution

The third proportional to 710,232.75 and 1,066,171.50 is: 1,600,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,232.75 : 1,066,171.50 = 1,066,171.50 : x
  2. Step 2: Convert to fraction form
    710,232.75/1,066,171.50 = 1,066,171.50/x
  3. Step 3: Cross multiply
    710,232.75x = 1,066,171.50 × 1,066,171.50
  4. Step 4: Simplify right side
    710,232.75x = 1,136,721,667,412.25
  5. Step 5: Solve for x
    x = 1,136,721,667,412.25/710,232.75
  6. Step 6: Final answer
    x = 1,600,491.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.