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Finding the Third Proportional to 233,934.75 and 492,315

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Solution

The third proportional to 233,934.75 and 492,315 is: 1,036,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,934.75 : 492,315 = 492,315 : x
  2. Step 2: Convert to fraction form
    233,934.75/492,315 = 492,315/x
  3. Step 3: Cross multiply
    233,934.75x = 492,315 × 492,315
  4. Step 4: Simplify right side
    233,934.75x = 242,374,059,225
  5. Step 5: Solve for x
    x = 242,374,059,225/233,934.75
  6. Step 6: Final answer
    x = 1,036,075.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.