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Finding the Third Proportional to 233,075 and 499,387

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Solution

The third proportional to 233,075 and 499,387 is: 1,069,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,075 : 499,387 = 499,387 : x
  2. Step 2: Convert to fraction form
    233,075/499,387 = 499,387/x
  3. Step 3: Cross multiply
    233,075x = 499,387 × 499,387
  4. Step 4: Simplify right side
    233,075x = 249,387,375,769
  5. Step 5: Solve for x
    x = 249,387,375,769/233,075
  6. Step 6: Final answer
    x = 1,069,987.67

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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.