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Finding the Third Proportional to 285,958 and 564,737

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Solution

The third proportional to 285,958 and 564,737 is: 1,115,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,958 : 564,737 = 564,737 : x
  2. Step 2: Convert to fraction form
    285,958/564,737 = 564,737/x
  3. Step 3: Cross multiply
    285,958x = 564,737 × 564,737
  4. Step 4: Simplify right side
    285,958x = 318,927,879,169
  5. Step 5: Solve for x
    x = 318,927,879,169/285,958
  6. Step 6: Final answer
    x = 1,115,296.23

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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.