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Finding the Third Proportional to 366,130 and 788,438

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Solution

The third proportional to 366,130 and 788,438 is: 1,697,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,130 : 788,438 = 788,438 : x
  2. Step 2: Convert to fraction form
    366,130/788,438 = 788,438/x
  3. Step 3: Cross multiply
    366,130x = 788,438 × 788,438
  4. Step 4: Simplify right side
    366,130x = 621,634,479,844
  5. Step 5: Solve for x
    x = 621,634,479,844/366,130
  6. Step 6: Final answer
    x = 1,697,851.80

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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.