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Finding the Third Proportional to 233,412 and 509,070

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Solution

The third proportional to 233,412 and 509,070 is: 1,110,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,412 : 509,070 = 509,070 : x
  2. Step 2: Convert to fraction form
    233,412/509,070 = 509,070/x
  3. Step 3: Cross multiply
    233,412x = 509,070 × 509,070
  4. Step 4: Simplify right side
    233,412x = 259,152,264,900
  5. Step 5: Solve for x
    x = 259,152,264,900/233,412
  6. Step 6: Final answer
    x = 1,110,278.24

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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.