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Finding the Third Proportional to 373,280 and 808,768

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Solution

The third proportional to 373,280 and 808,768 is: 1,752,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,280 : 808,768 = 808,768 : x
  2. Step 2: Convert to fraction form
    373,280/808,768 = 808,768/x
  3. Step 3: Cross multiply
    373,280x = 808,768 × 808,768
  4. Step 4: Simplify right side
    373,280x = 654,105,677,824
  5. Step 5: Solve for x
    x = 654,105,677,824/373,280
  6. Step 6: Final answer
    x = 1,752,319.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.