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Finding the Third Proportional to 465,528 and 706,932

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Solution

The third proportional to 465,528 and 706,932 is: 1,073,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,528 : 706,932 = 706,932 : x
  2. Step 2: Convert to fraction form
    465,528/706,932 = 706,932/x
  3. Step 3: Cross multiply
    465,528x = 706,932 × 706,932
  4. Step 4: Simplify right side
    465,528x = 499,752,852,624
  5. Step 5: Solve for x
    x = 499,752,852,624/465,528
  6. Step 6: Final answer
    x = 1,073,518.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.