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Finding the Third Proportional to 402,282.70 and 607,524.68

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Solution

The third proportional to 402,282.70 and 607,524.68 is: 917,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,282.70 : 607,524.68 = 607,524.68 : x
  2. Step 2: Convert to fraction form
    402,282.70/607,524.68 = 607,524.68/x
  3. Step 3: Cross multiply
    402,282.70x = 607,524.68 × 607,524.68
  4. Step 4: Simplify right side
    402,282.70x = 369,086,236,429.40
  5. Step 5: Solve for x
    x = 369,086,236,429.40/402,282.70
  6. Step 6: Final answer
    x = 917,479.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.