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Finding the Third Proportional to 578,890.50 and 894,579

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Solution

The third proportional to 578,890.50 and 894,579 is: 1,382,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,890.50 : 894,579 = 894,579 : x
  2. Step 2: Convert to fraction form
    578,890.50/894,579 = 894,579/x
  3. Step 3: Cross multiply
    578,890.50x = 894,579 × 894,579
  4. Step 4: Simplify right side
    578,890.50x = 800,271,587,241
  5. Step 5: Solve for x
    x = 800,271,587,241/578,890.50
  6. Step 6: Final answer
    x = 1,382,423.08

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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.