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Finding the Third Proportional to 420,727.50 and 912,789

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Solution

The third proportional to 420,727.50 and 912,789 is: 1,980,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,727.50 : 912,789 = 912,789 : x
  2. Step 2: Convert to fraction form
    420,727.50/912,789 = 912,789/x
  3. Step 3: Cross multiply
    420,727.50x = 912,789 × 912,789
  4. Step 4: Simplify right side
    420,727.50x = 833,183,758,521
  5. Step 5: Solve for x
    x = 833,183,758,521/420,727.50
  6. Step 6: Final answer
    x = 1,980,340.62

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