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Finding the Third Proportional to 287,653.50 and 545,782.50

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Solution

The third proportional to 287,653.50 and 545,782.50 is: 1,035,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,653.50 : 545,782.50 = 545,782.50 : x
  2. Step 2: Convert to fraction form
    287,653.50/545,782.50 = 545,782.50/x
  3. Step 3: Cross multiply
    287,653.50x = 545,782.50 × 545,782.50
  4. Step 4: Simplify right side
    287,653.50x = 297,878,537,306.25
  5. Step 5: Solve for x
    x = 297,878,537,306.25/287,653.50
  6. Step 6: Final answer
    x = 1,035,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.