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Finding the Third Proportional to 623,295 and 831,870

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Solution

The third proportional to 623,295 and 831,870 is: 1,110,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,295 : 831,870 = 831,870 : x
  2. Step 2: Convert to fraction form
    623,295/831,870 = 831,870/x
  3. Step 3: Cross multiply
    623,295x = 831,870 × 831,870
  4. Step 4: Simplify right side
    623,295x = 692,007,696,900
  5. Step 5: Solve for x
    x = 692,007,696,900/623,295
  6. Step 6: Final answer
    x = 1,110,241.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.