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Finding the Third Proportional to 484,386 and 719,667

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Solution

The third proportional to 484,386 and 719,667 is: 1,069,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,386 : 719,667 = 719,667 : x
  2. Step 2: Convert to fraction form
    484,386/719,667 = 719,667/x
  3. Step 3: Cross multiply
    484,386x = 719,667 × 719,667
  4. Step 4: Simplify right side
    484,386x = 517,920,590,889
  5. Step 5: Solve for x
    x = 517,920,590,889/484,386
  6. Step 6: Final answer
    x = 1,069,231.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.