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Finding the Third Proportional to 233,502 and 510,266

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Solution

The third proportional to 233,502 and 510,266 is: 1,115,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,502 : 510,266 = 510,266 : x
  2. Step 2: Convert to fraction form
    233,502/510,266 = 510,266/x
  3. Step 3: Cross multiply
    233,502x = 510,266 × 510,266
  4. Step 4: Simplify right side
    233,502x = 260,371,390,756
  5. Step 5: Solve for x
    x = 260,371,390,756/233,502
  6. Step 6: Final answer
    x = 1,115,071.35

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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.