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Finding the Third Proportional to 233,330 and 509,428

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Solution

The third proportional to 233,330 and 509,428 is: 1,112,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,330 : 509,428 = 509,428 : x
  2. Step 2: Convert to fraction form
    233,330/509,428 = 509,428/x
  3. Step 3: Cross multiply
    233,330x = 509,428 × 509,428
  4. Step 4: Simplify right side
    233,330x = 259,516,887,184
  5. Step 5: Solve for x
    x = 259,516,887,184/233,330
  6. Step 6: Final answer
    x = 1,112,231.12

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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.