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Finding the Third Proportional to 233,124.75 and 499,329

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Solution

The third proportional to 233,124.75 and 499,329 is: 1,069,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,124.75 : 499,329 = 499,329 : x
  2. Step 2: Convert to fraction form
    233,124.75/499,329 = 499,329/x
  3. Step 3: Cross multiply
    233,124.75x = 499,329 × 499,329
  4. Step 4: Simplify right side
    233,124.75x = 249,329,450,241
  5. Step 5: Solve for x
    x = 249,329,450,241/233,124.75
  6. Step 6: Final answer
    x = 1,069,510.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.