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Finding the Third Proportional to 465,408 and 711,648

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Solution

The third proportional to 465,408 and 711,648 is: 1,088,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,408 : 711,648 = 711,648 : x
  2. Step 2: Convert to fraction form
    465,408/711,648 = 711,648/x
  3. Step 3: Cross multiply
    465,408x = 711,648 × 711,648
  4. Step 4: Simplify right side
    465,408x = 506,442,875,904
  5. Step 5: Solve for x
    x = 506,442,875,904/465,408
  6. Step 6: Final answer
    x = 1,088,169.68

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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.