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Finding the Third Proportional to 366,480 and 788,364

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Solution

The third proportional to 366,480 and 788,364 is: 1,695,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,480 : 788,364 = 788,364 : x
  2. Step 2: Convert to fraction form
    366,480/788,364 = 788,364/x
  3. Step 3: Cross multiply
    366,480x = 788,364 × 788,364
  4. Step 4: Simplify right side
    366,480x = 621,517,796,496
  5. Step 5: Solve for x
    x = 621,517,796,496/366,480
  6. Step 6: Final answer
    x = 1,695,911.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.