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Finding the Third Proportional to 233,271 and 499,618.50

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Solution

The third proportional to 233,271 and 499,618.50 is: 1,070,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271 : 499,618.50 = 499,618.50 : x
  2. Step 2: Convert to fraction form
    233,271/499,618.50 = 499,618.50/x
  3. Step 3: Cross multiply
    233,271x = 499,618.50 × 499,618.50
  4. Step 4: Simplify right side
    233,271x = 249,618,645,542.25
  5. Step 5: Solve for x
    x = 249,618,645,542.25/233,271
  6. Step 6: Final answer
    x = 1,070,080.06

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