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Finding the Third Proportional to 367,584 and 758,160

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Solution

The third proportional to 367,584 and 758,160 is: 1,563,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,584 : 758,160 = 758,160 : x
  2. Step 2: Convert to fraction form
    367,584/758,160 = 758,160/x
  3. Step 3: Cross multiply
    367,584x = 758,160 × 758,160
  4. Step 4: Simplify right side
    367,584x = 574,806,585,600
  5. Step 5: Solve for x
    x = 574,806,585,600/367,584
  6. Step 6: Final answer
    x = 1,563,742.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.