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Finding the Third Proportional to 318,654 and 432,985.50

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Solution

The third proportional to 318,654 and 432,985.50 is: 588,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,654 : 432,985.50 = 432,985.50 : x
  2. Step 2: Convert to fraction form
    318,654/432,985.50 = 432,985.50/x
  3. Step 3: Cross multiply
    318,654x = 432,985.50 × 432,985.50
  4. Step 4: Simplify right side
    318,654x = 187,476,443,210.25
  5. Step 5: Solve for x
    x = 187,476,443,210.25/318,654
  6. Step 6: Final answer
    x = 588,338.58

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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.