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Finding the Third Proportional to 360,297 and 788,310

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Solution

The third proportional to 360,297 and 788,310 is: 1,724,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,297 : 788,310 = 788,310 : x
  2. Step 2: Convert to fraction form
    360,297/788,310 = 788,310/x
  3. Step 3: Cross multiply
    360,297x = 788,310 × 788,310
  4. Step 4: Simplify right side
    360,297x = 621,432,656,100
  5. Step 5: Solve for x
    x = 621,432,656,100/360,297
  6. Step 6: Final answer
    x = 1,724,778.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.