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Finding the Third Proportional to 207,306 and 435,499.88

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Solution

The third proportional to 207,306 and 435,499.88 is: 914,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,306 : 435,499.88 = 435,499.88 : x
  2. Step 2: Convert to fraction form
    207,306/435,499.88 = 435,499.88/x
  3. Step 3: Cross multiply
    207,306x = 435,499.88 × 435,499.88
  4. Step 4: Simplify right side
    207,306x = 189,660,141,125.02
  5. Step 5: Solve for x
    x = 189,660,141,125.02/207,306
  6. Step 6: Final answer
    x = 914,880.13

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