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Finding the Third Proportional to 375,430 and 777,475

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Solution

The third proportional to 375,430 and 777,475 is: 1,610,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,430 : 777,475 = 777,475 : x
  2. Step 2: Convert to fraction form
    375,430/777,475 = 777,475/x
  3. Step 3: Cross multiply
    375,430x = 777,475 × 777,475
  4. Step 4: Simplify right side
    375,430x = 604,467,375,625
  5. Step 5: Solve for x
    x = 604,467,375,625/375,430
  6. Step 6: Final answer
    x = 1,610,066.79

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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.