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Finding the Third Proportional to 233,332 and 509,432

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Solution

The third proportional to 233,332 and 509,432 is: 1,112,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,332 : 509,432 = 509,432 : x
  2. Step 2: Convert to fraction form
    233,332/509,432 = 509,432/x
  3. Step 3: Cross multiply
    233,332x = 509,432 × 509,432
  4. Step 4: Simplify right side
    233,332x = 259,520,962,624
  5. Step 5: Solve for x
    x = 259,520,962,624/233,332
  6. Step 6: Final answer
    x = 1,112,239.05

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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.