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Finding the Third Proportional to 318,302.50 and 432,548

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Solution

The third proportional to 318,302.50 and 432,548 is: 587,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,302.50 : 432,548 = 432,548 : x
  2. Step 2: Convert to fraction form
    318,302.50/432,548 = 432,548/x
  3. Step 3: Cross multiply
    318,302.50x = 432,548 × 432,548
  4. Step 4: Simplify right side
    318,302.50x = 187,097,772,304
  5. Step 5: Solve for x
    x = 187,097,772,304/318,302.50
  6. Step 6: Final answer
    x = 587,798.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.