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Finding the Third Proportional to 233,312 and 509,392

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Solution

The third proportional to 233,312 and 509,392 is: 1,112,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,312 : 509,392 = 509,392 : x
  2. Step 2: Convert to fraction form
    233,312/509,392 = 509,392/x
  3. Step 3: Cross multiply
    233,312x = 509,392 × 509,392
  4. Step 4: Simplify right side
    233,312x = 259,480,209,664
  5. Step 5: Solve for x
    x = 259,480,209,664/233,312
  6. Step 6: Final answer
    x = 1,112,159.72

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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.