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Finding the Third Proportional to 564,994.50 and 837,717

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Solution

The third proportional to 564,994.50 and 837,717 is: 1,242,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,994.50 : 837,717 = 837,717 : x
  2. Step 2: Convert to fraction form
    564,994.50/837,717 = 837,717/x
  3. Step 3: Cross multiply
    564,994.50x = 837,717 × 837,717
  4. Step 4: Simplify right side
    564,994.50x = 701,769,772,089
  5. Step 5: Solve for x
    x = 701,769,772,089/564,994.50
  6. Step 6: Final answer
    x = 1,242,082.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.