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Finding the Third Proportional to 365,184 and 788,688

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Solution

The third proportional to 365,184 and 788,688 is: 1,703,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,184 : 788,688 = 788,688 : x
  2. Step 2: Convert to fraction form
    365,184/788,688 = 788,688/x
  3. Step 3: Cross multiply
    365,184x = 788,688 × 788,688
  4. Step 4: Simplify right side
    365,184x = 622,028,761,344
  5. Step 5: Solve for x
    x = 622,028,761,344/365,184
  6. Step 6: Final answer
    x = 1,703,329.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.