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Finding the Third Proportional to 375,064 and 808,764

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Solution

The third proportional to 375,064 and 808,764 is: 1,743,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,064 : 808,764 = 808,764 : x
  2. Step 2: Convert to fraction form
    375,064/808,764 = 808,764/x
  3. Step 3: Cross multiply
    375,064x = 808,764 × 808,764
  4. Step 4: Simplify right side
    375,064x = 654,099,207,696
  5. Step 5: Solve for x
    x = 654,099,207,696/375,064
  6. Step 6: Final answer
    x = 1,743,966.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.