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Finding the Third Proportional to 417,013.50 and 690,222

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Solution

The third proportional to 417,013.50 and 690,222 is: 1,142,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,013.50 : 690,222 = 690,222 : x
  2. Step 2: Convert to fraction form
    417,013.50/690,222 = 690,222/x
  3. Step 3: Cross multiply
    417,013.50x = 690,222 × 690,222
  4. Step 4: Simplify right side
    417,013.50x = 476,406,409,284
  5. Step 5: Solve for x
    x = 476,406,409,284/417,013.50
  6. Step 6: Final answer
    x = 1,142,424.43

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.