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Finding the Third Proportional to 368,748 and 804,240

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Solution

The third proportional to 368,748 and 804,240 is: 1,754,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,748 : 804,240 = 804,240 : x
  2. Step 2: Convert to fraction form
    368,748/804,240 = 804,240/x
  3. Step 3: Cross multiply
    368,748x = 804,240 × 804,240
  4. Step 4: Simplify right side
    368,748x = 646,801,977,600
  5. Step 5: Solve for x
    x = 646,801,977,600/368,748
  6. Step 6: Final answer
    x = 1,754,048.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.