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Finding the Third Proportional to 465,580 and 711,907

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Solution

The third proportional to 465,580 and 711,907 is: 1,088,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,580 : 711,907 = 711,907 : x
  2. Step 2: Convert to fraction form
    465,580/711,907 = 711,907/x
  3. Step 3: Cross multiply
    465,580x = 711,907 × 711,907
  4. Step 4: Simplify right side
    465,580x = 506,811,576,649
  5. Step 5: Solve for x
    x = 506,811,576,649/465,580
  6. Step 6: Final answer
    x = 1,088,559.60

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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.