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Finding the Third Proportional to 420,595.50 and 912,178.50

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Solution

The third proportional to 420,595.50 and 912,178.50 is: 1,978,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,595.50 : 912,178.50 = 912,178.50 : x
  2. Step 2: Convert to fraction form
    420,595.50/912,178.50 = 912,178.50/x
  3. Step 3: Cross multiply
    420,595.50x = 912,178.50 × 912,178.50
  4. Step 4: Simplify right side
    420,595.50x = 832,069,615,862.25
  5. Step 5: Solve for x
    x = 832,069,615,862.25/420,595.50
  6. Step 6: Final answer
    x = 1,978,313.17

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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.