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Finding the Third Proportional to 356,560 and 783,095

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Solution

The third proportional to 356,560 and 783,095 is: 1,719,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,560 : 783,095 = 783,095 : x
  2. Step 2: Convert to fraction form
    356,560/783,095 = 783,095/x
  3. Step 3: Cross multiply
    356,560x = 783,095 × 783,095
  4. Step 4: Simplify right side
    356,560x = 613,237,779,025
  5. Step 5: Solve for x
    x = 613,237,779,025/356,560
  6. Step 6: Final answer
    x = 1,719,872.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.