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Finding the Third Proportional to 465,576 and 711,888

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Solution

The third proportional to 465,576 and 711,888 is: 1,088,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,576 : 711,888 = 711,888 : x
  2. Step 2: Convert to fraction form
    465,576/711,888 = 711,888/x
  3. Step 3: Cross multiply
    465,576x = 711,888 × 711,888
  4. Step 4: Simplify right side
    465,576x = 506,784,524,544
  5. Step 5: Solve for x
    x = 506,784,524,544/465,576
  6. Step 6: Final answer
    x = 1,088,510.84

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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.