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Finding the Third Proportional to 375,584 and 777,416

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Solution

The third proportional to 375,584 and 777,416 is: 1,609,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,584 : 777,416 = 777,416 : x
  2. Step 2: Convert to fraction form
    375,584/777,416 = 777,416/x
  3. Step 3: Cross multiply
    375,584x = 777,416 × 777,416
  4. Step 4: Simplify right side
    375,584x = 604,375,637,056
  5. Step 5: Solve for x
    x = 604,375,637,056/375,584
  6. Step 6: Final answer
    x = 1,609,162.36

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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.