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Finding the Third Proportional to 260,347.50 and 564,111

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Solution

The third proportional to 260,347.50 and 564,111 is: 1,222,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,347.50 : 564,111 = 564,111 : x
  2. Step 2: Convert to fraction form
    260,347.50/564,111 = 564,111/x
  3. Step 3: Cross multiply
    260,347.50x = 564,111 × 564,111
  4. Step 4: Simplify right side
    260,347.50x = 318,221,220,321
  5. Step 5: Solve for x
    x = 318,221,220,321/260,347.50
  6. Step 6: Final answer
    x = 1,222,294.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.