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Finding the Third Proportional to 223,808 and 483,362

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Solution

The third proportional to 223,808 and 483,362 is: 1,043,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,808 : 483,362 = 483,362 : x
  2. Step 2: Convert to fraction form
    223,808/483,362 = 483,362/x
  3. Step 3: Cross multiply
    223,808x = 483,362 × 483,362
  4. Step 4: Simplify right side
    223,808x = 233,638,823,044
  5. Step 5: Solve for x
    x = 233,638,823,044/223,808
  6. Step 6: Final answer
    x = 1,043,925.25

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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.