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Finding the Third Proportional to 465,486.75 and 711,777.38

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Solution

The third proportional to 465,486.75 and 711,777.38 is: 1,088,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,486.75 : 711,777.38 = 711,777.38 : x
  2. Step 2: Convert to fraction form
    465,486.75/711,777.38 = 711,777.38/x
  3. Step 3: Cross multiply
    465,486.75x = 711,777.38 × 711,777.38
  4. Step 4: Simplify right side
    465,486.75x = 506,627,031,561.89
  5. Step 5: Solve for x
    x = 506,627,031,561.89/465,486.75
  6. Step 6: Final answer
    x = 1,088,381.21

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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.