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Finding the Third Proportional to 296,727 and 563,565

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Solution

The third proportional to 296,727 and 563,565 is: 1,070,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,727 : 563,565 = 563,565 : x
  2. Step 2: Convert to fraction form
    296,727/563,565 = 563,565/x
  3. Step 3: Cross multiply
    296,727x = 563,565 × 563,565
  4. Step 4: Simplify right side
    296,727x = 317,605,509,225
  5. Step 5: Solve for x
    x = 317,605,509,225/296,727
  6. Step 6: Final answer
    x = 1,070,362.69

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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.