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Finding the Third Proportional to 386,497 and 577,968

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Solution

The third proportional to 386,497 and 577,968 is: 864,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,497 : 577,968 = 577,968 : x
  2. Step 2: Convert to fraction form
    386,497/577,968 = 577,968/x
  3. Step 3: Cross multiply
    386,497x = 577,968 × 577,968
  4. Step 4: Simplify right side
    386,497x = 334,047,009,024
  5. Step 5: Solve for x
    x = 334,047,009,024/386,497
  6. Step 6: Final answer
    x = 864,293.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.