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Finding the Third Proportional to 767,302 and 1,161,604

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Solution

The third proportional to 767,302 and 1,161,604 is: 1,758,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,302 : 1,161,604 = 1,161,604 : x
  2. Step 2: Convert to fraction form
    767,302/1,161,604 = 1,161,604/x
  3. Step 3: Cross multiply
    767,302x = 1,161,604 × 1,161,604
  4. Step 4: Simplify right side
    767,302x = 1,349,323,852,816
  5. Step 5: Solve for x
    x = 1,349,323,852,816/767,302
  6. Step 6: Final answer
    x = 1,758,530.35

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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.