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Finding the Third Proportional to 375,438 and 777,489

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Solution

The third proportional to 375,438 and 777,489 is: 1,610,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,438 : 777,489 = 777,489 : x
  2. Step 2: Convert to fraction form
    375,438/777,489 = 777,489/x
  3. Step 3: Cross multiply
    375,438x = 777,489 × 777,489
  4. Step 4: Simplify right side
    375,438x = 604,489,145,121
  5. Step 5: Solve for x
    x = 604,489,145,121/375,438
  6. Step 6: Final answer
    x = 1,610,090.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.