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Finding the Third Proportional to 498,970.13 and 763,421.63

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Solution

The third proportional to 498,970.13 and 763,421.63 is: 1,168,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,970.13 : 763,421.63 = 763,421.63 : x
  2. Step 2: Convert to fraction form
    498,970.13/763,421.63 = 763,421.63/x
  3. Step 3: Cross multiply
    498,970.13x = 763,421.63 × 763,421.63
  4. Step 4: Simplify right side
    498,970.13x = 582,812,577,517.64
  5. Step 5: Solve for x
    x = 582,812,577,517.64/498,970.13
  6. Step 6: Final answer
    x = 1,168,031.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.