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Finding the Third Proportional to 623,703.38 and 965,363.06

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Solution

The third proportional to 623,703.38 and 965,363.06 is: 1,494,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,703.38 : 965,363.06 = 965,363.06 : x
  2. Step 2: Convert to fraction form
    623,703.38/965,363.06 = 965,363.06/x
  3. Step 3: Cross multiply
    623,703.38x = 965,363.06 × 965,363.06
  4. Step 4: Simplify right side
    623,703.38x = 931,925,842,439.38
  5. Step 5: Solve for x
    x = 931,925,842,439.38/623,703.38
  6. Step 6: Final answer
    x = 1,494,181.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.