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Finding the Third Proportional to 341,020 and 516,264

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Solution

The third proportional to 341,020 and 516,264 is: 781,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,020 : 516,264 = 516,264 : x
  2. Step 2: Convert to fraction form
    341,020/516,264 = 516,264/x
  3. Step 3: Cross multiply
    341,020x = 516,264 × 516,264
  4. Step 4: Simplify right side
    341,020x = 266,528,517,696
  5. Step 5: Solve for x
    x = 266,528,517,696/341,020
  6. Step 6: Final answer
    x = 781,562.72

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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.