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Finding the Third Proportional to 423,304.50 and 564,324

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Solution

The third proportional to 423,304.50 and 564,324 is: 752,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,304.50 : 564,324 = 564,324 : x
  2. Step 2: Convert to fraction form
    423,304.50/564,324 = 564,324/x
  3. Step 3: Cross multiply
    423,304.50x = 564,324 × 564,324
  4. Step 4: Simplify right side
    423,304.50x = 318,461,576,976
  5. Step 5: Solve for x
    x = 318,461,576,976/423,304.50
  6. Step 6: Final answer
    x = 752,322.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.