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Finding the Third Proportional to 316,157.50 and 462,403.50

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Solution

The third proportional to 316,157.50 and 462,403.50 is: 676,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,157.50 : 462,403.50 = 462,403.50 : x
  2. Step 2: Convert to fraction form
    316,157.50/462,403.50 = 462,403.50/x
  3. Step 3: Cross multiply
    316,157.50x = 462,403.50 × 462,403.50
  4. Step 4: Simplify right side
    316,157.50x = 213,816,996,812.25
  5. Step 5: Solve for x
    x = 213,816,996,812.25/316,157.50
  6. Step 6: Final answer
    x = 676,298.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.