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Finding the Third Proportional to 369,375 and 808,813

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Solution

The third proportional to 369,375 and 808,813 is: 1,771,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,375 : 808,813 = 808,813 : x
  2. Step 2: Convert to fraction form
    369,375/808,813 = 808,813/x
  3. Step 3: Cross multiply
    369,375x = 808,813 × 808,813
  4. Step 4: Simplify right side
    369,375x = 654,178,468,969
  5. Step 5: Solve for x
    x = 654,178,468,969/369,375
  6. Step 6: Final answer
    x = 1,771,041.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.