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Finding the Third Proportional to 465,510 and 711,804

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Solution

The third proportional to 465,510 and 711,804 is: 1,088,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,510 : 711,804 = 711,804 : x
  2. Step 2: Convert to fraction form
    465,510/711,804 = 711,804/x
  3. Step 3: Cross multiply
    465,510x = 711,804 × 711,804
  4. Step 4: Simplify right side
    465,510x = 506,664,934,416
  5. Step 5: Solve for x
    x = 506,664,934,416/465,510
  6. Step 6: Final answer
    x = 1,088,408.27

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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.