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Finding the Third Proportional to 369,916 and 808,324

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Solution

The third proportional to 369,916 and 808,324 is: 1,766,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,916 : 808,324 = 808,324 : x
  2. Step 2: Convert to fraction form
    369,916/808,324 = 808,324/x
  3. Step 3: Cross multiply
    369,916x = 808,324 × 808,324
  4. Step 4: Simplify right side
    369,916x = 653,387,688,976
  5. Step 5: Solve for x
    x = 653,387,688,976/369,916
  6. Step 6: Final answer
    x = 1,766,313.67

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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.