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Finding the Third Proportional to 360,112 and 785,020

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Solution

The third proportional to 360,112 and 785,020 is: 1,711,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,112 : 785,020 = 785,020 : x
  2. Step 2: Convert to fraction form
    360,112/785,020 = 785,020/x
  3. Step 3: Cross multiply
    360,112x = 785,020 × 785,020
  4. Step 4: Simplify right side
    360,112x = 616,256,400,400
  5. Step 5: Solve for x
    x = 616,256,400,400/360,112
  6. Step 6: Final answer
    x = 1,711,290.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.