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Finding the Third Proportional to 385,047 and 834,246

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Solution

The third proportional to 385,047 and 834,246 is: 1,807,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,047 : 834,246 = 834,246 : x
  2. Step 2: Convert to fraction form
    385,047/834,246 = 834,246/x
  3. Step 3: Cross multiply
    385,047x = 834,246 × 834,246
  4. Step 4: Simplify right side
    385,047x = 695,966,388,516
  5. Step 5: Solve for x
    x = 695,966,388,516/385,047
  6. Step 6: Final answer
    x = 1,807,484.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.