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Finding the Third Proportional to 362,240 and 532,260

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Solution

The third proportional to 362,240 and 532,260 is: 782,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,240 : 532,260 = 532,260 : x
  2. Step 2: Convert to fraction form
    362,240/532,260 = 532,260/x
  3. Step 3: Cross multiply
    362,240x = 532,260 × 532,260
  4. Step 4: Simplify right side
    362,240x = 283,300,707,600
  5. Step 5: Solve for x
    x = 283,300,707,600/362,240
  6. Step 6: Final answer
    x = 782,080.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.