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Finding the Third Proportional to 285,957 and 564,736.50

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Solution

The third proportional to 285,957 and 564,736.50 is: 1,115,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,957 : 564,736.50 = 564,736.50 : x
  2. Step 2: Convert to fraction form
    285,957/564,736.50 = 564,736.50/x
  3. Step 3: Cross multiply
    285,957x = 564,736.50 × 564,736.50
  4. Step 4: Simplify right side
    285,957x = 318,927,314,432.25
  5. Step 5: Solve for x
    x = 318,927,314,432.25/285,957
  6. Step 6: Final answer
    x = 1,115,298.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.